Tamas Hausel

Hausel Group

36 Publications

Mark all

[36]
2024 | Journal Article | IST-REx-ID: 14930
Hausel, T., Letellier, E., & Rodriguez-Villegas, F. (2024). Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00914-2
View | DOI
 
[35]
2024 | Journal Article | IST-REx-ID: 15339 | OA
González, M., & Hausel, T. (2024). Hitchin map on even very stable upward flows. International Journal of Mathematics. World Scientific Publishing. https://doi.org/10.1142/S0129167X2441009X
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2023 | Journal Article | IST-REx-ID: 14244 | OA
Hausel, T., Wong, M. L., & Wyss, D. (2023). Arithmetic and metric aspects of open de Rham spaces. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12555
[Published Version] View | Files available | DOI | WoS | arXiv
 
[33]
2022 | Journal Article | IST-REx-ID: 10704 | OA
Hausel, T., & Hitchin, N. (2022). Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. Springer Nature. https://doi.org/10.1007/s00222-021-01093-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[32]
2020 | Journal Article | IST-REx-ID: 15070
Anderson, L., Hausel, T., Mazzeo, R., & Schaposnik, L. (2020). Geometry and physics of Higgs bundles. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/23
View | DOI
 
[31]
2019 | Journal Article | IST-REx-ID: 439 | OA
Hausel, T., Mereb, M., & Wong, M. (2019). Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/896
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2018 | Book Chapter | IST-REx-ID: 6525
Hausel, T., Mellit, A., & Pei, D. (2018). Mirror symmetry with branes by equivariant verlinde formulas. In Geometry and Physics: Volume I (pp. 189–218). Oxford University Press. https://doi.org/10.1093/oso/9780198802013.003.0009
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473 | OA
Hausel, T., & Rodríguez Villegas, F. (2015). Cohomology of large semiprojective hyperkähler varieties. Asterisque. Societe Mathematique de France.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1442 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Positivity for Kac polynomials and DT-invariants of quivers. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2013.177.3.8
View | DOI | Download (ext.)
 
[27]
2013 | Book Chapter | IST-REx-ID: 1443 | OA
Hausel, T. (2013). Global topology of the Hitchin system. In Handbook of Moduli: Volume II (Vol. 25, pp. 29–70). International Press.
View | Download (ext.)
 
[26]
2013 | Journal Article | IST-REx-ID: 1469
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2012.10.009
View | DOI
 
[25]
2013 | Journal Article | IST-REx-ID: 1470 | OA
De Cataldo, M., Hausel, T., & Migliorini, L. (2013). Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Journal of Singularities. Worldwide Center of Mathematics. https://doi.org/10.5427/jsing.2013.7c
View | DOI | Download (ext.)
 
[24]
2012 | Journal Article | IST-REx-ID: 1472 | OA
De Cataldo, M., Hausel, T., & Migliorini, L. (2012). Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.3.7
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1471 | OA
Hausel, T., & Pauly, C. (2012). Prym varieties of spectral covers. Geometry and Topology. University of Warwick. https://doi.org/10.2140/gt.2012.16.1609
View | DOI | Download (ext.)
 
[22]
2011 | Journal Article | IST-REx-ID: 1467 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2011). Arithmetic harmonic analysis on character and quiver varieties. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1444258
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1466 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2010). Topology of character varieties and representations of quivers. Comptes Rendus Mathematique. Elsevier. https://doi.org/10.1016/j.crma.2010.01.025
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1465 | OA
Hausel, T. (2010). Kac’s conjecture from Nakajima quiver varieties. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-010-0241-3
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468 | OA
Hausel, T. (2010). S-Duality in HyperkäHler Hodge Theory. In The Many Facets of Geometry: A Tribute to Nigel Hitchin. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199534920.003.0016
View | DOI | Download (ext.)
 
[18]
2008 | Journal Article | IST-REx-ID: 1460 | OA
Hausel, T., & Rodríguez Villegas, F. (2008). Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-008-0142-x
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1462 | OA
Hausel, T. (2006). Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.0601337103
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1461 | OA
Hausel, T., & Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0002-9939-06-08248-7
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447 | OA
Hausel, T. (2005). Quaternionic geometry of matroids. Open Mathematics. Central European Science Journals. https://doi.org/10.2478/BF02475653
View | DOI | Download (ext.)
 
[14]
2005 | Book Chapter | IST-REx-ID: 1444 | OA
Hausel, T. (2005). Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve. In Geometric Methods in Algebra and Number Theory (Vol. 235, pp. 193–217). Springer. https://doi.org/10.1007/0-8176-4417-2_9
View | DOI | Download (ext.)
 
[13]
2005 | Journal Article | IST-REx-ID: 1463 | OA
Hausel, T., & Proudfoot, N. (2005). Abelianization for hyperkähler quotients. Topology. Elsevier. https://doi.org/10.1016/j.top.2004.04.002
View | DOI | Download (ext.)
 
[12]
2004 | Journal Article | IST-REx-ID: 1456 | OA
Hausel, T., Hunsicker, E., & Mazzeo, R. (2004). Hodge cohomology of gravitational instantons. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/S0012-7094-04-12233-X
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1464 | OA
Hausel, T., & Thaddeus, M. (2004). Generators for the cohomology ring of the moduli space of rank 2 higgs bundles. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/S0024611503014618
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457 | OA
Hausel, T., & Thaddeus, M. (2003). Mirror symmetry, langlands duality, and the Hitchin system. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-003-0286-7
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458 | OA
Hausel, T., & Thaddeus, M. (2003). Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Journal of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-02-00417-4
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459 | OA
Etesi, G., & Hausel, T. (2003). On Yang-Mills instantons over multi-centered gravitational instantons. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-003-0806-8
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451 | OA
Hausel, T., & Sturmfels, B. (2002). Toric hyperkähler varieties. Documenta Mathematica. Deutsche Mathematiker Vereinigung. https://doi.org/10.4171/DM/130
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Journal Article | IST-REx-ID: 1452 | OA
Hausel, T., & Thaddeus, M. (2001). Examples of mirror partners arising from integrable systems. Comptes Rendus de l’Academie Des Sciences - Series I: Mathematics. Elsevier. https://doi.org/10.1016/S0764-4442(01)02057-2
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2001 | Journal Article | IST-REx-ID: 1453 | OA
Etesi, G., & Hausel, T. (2001). Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. Elsevier. https://doi.org/10.1016/S0370-2693(01)00821-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2001 | Journal Article | IST-REx-ID: 1454 | OA
Etesi, G., & Hausel, T. (2001). Geometric interpretation of Schwarzschild instantons. Journal of Geometry and Physics. Elsevier. https://doi.org/10.1016/S0393-0440(00)00040-1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2000 | Journal Article | IST-REx-ID: 1455 | OA
Hausel, T., Makai, E., & Szücs, A. (2000). Inscribing cubes and covering by rhombic dodecahedra via equivariant topology. Mathematika. University College London. https://doi.org/10.1112/S0025579300015965
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Journal Article | IST-REx-ID: 1450 | OA
Hausel, T. (1998). Vanishing of intersection numbers on the moduli space of Higgs bundles. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.1998.v2.n5.a3
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
1998 | Journal Article | IST-REx-ID: 1449 | OA
Hausel, T. (1998). Compactification of moduli of Higgs bundles. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crll.1998.096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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36 Publications

Mark all

[36]
2024 | Journal Article | IST-REx-ID: 14930
Hausel, T., Letellier, E., & Rodriguez-Villegas, F. (2024). Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. Springer Nature. https://doi.org/10.1007/s00029-023-00914-2
View | DOI
 
[35]
2024 | Journal Article | IST-REx-ID: 15339 | OA
González, M., & Hausel, T. (2024). Hitchin map on even very stable upward flows. International Journal of Mathematics. World Scientific Publishing. https://doi.org/10.1142/S0129167X2441009X
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2023 | Journal Article | IST-REx-ID: 14244 | OA
Hausel, T., Wong, M. L., & Wyss, D. (2023). Arithmetic and metric aspects of open de Rham spaces. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12555
[Published Version] View | Files available | DOI | WoS | arXiv
 
[33]
2022 | Journal Article | IST-REx-ID: 10704 | OA
Hausel, T., & Hitchin, N. (2022). Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. Springer Nature. https://doi.org/10.1007/s00222-021-01093-7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[32]
2020 | Journal Article | IST-REx-ID: 15070
Anderson, L., Hausel, T., Mazzeo, R., & Schaposnik, L. (2020). Geometry and physics of Higgs bundles. Oberwolfach Reports. European Mathematical Society. https://doi.org/10.4171/owr/2019/23
View | DOI
 
[31]
2019 | Journal Article | IST-REx-ID: 439 | OA
Hausel, T., Mereb, M., & Wong, M. (2019). Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. European Mathematical Society. https://doi.org/10.4171/JEMS/896
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[30]
2018 | Book Chapter | IST-REx-ID: 6525
Hausel, T., Mellit, A., & Pei, D. (2018). Mirror symmetry with branes by equivariant verlinde formulas. In Geometry and Physics: Volume I (pp. 189–218). Oxford University Press. https://doi.org/10.1093/oso/9780198802013.003.0009
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473 | OA
Hausel, T., & Rodríguez Villegas, F. (2015). Cohomology of large semiprojective hyperkähler varieties. Asterisque. Societe Mathematique de France.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1442 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Positivity for Kac polynomials and DT-invariants of quivers. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2013.177.3.8
View | DOI | Download (ext.)
 
[27]
2013 | Book Chapter | IST-REx-ID: 1443 | OA
Hausel, T. (2013). Global topology of the Hitchin system. In Handbook of Moduli: Volume II (Vol. 25, pp. 29–70). International Press.
View | Download (ext.)
 
[26]
2013 | Journal Article | IST-REx-ID: 1469
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2013). Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2012.10.009
View | DOI
 
[25]
2013 | Journal Article | IST-REx-ID: 1470 | OA
De Cataldo, M., Hausel, T., & Migliorini, L. (2013). Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Journal of Singularities. Worldwide Center of Mathematics. https://doi.org/10.5427/jsing.2013.7c
View | DOI | Download (ext.)
 
[24]
2012 | Journal Article | IST-REx-ID: 1472 | OA
De Cataldo, M., Hausel, T., & Migliorini, L. (2012). Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.3.7
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1471 | OA
Hausel, T., & Pauly, C. (2012). Prym varieties of spectral covers. Geometry and Topology. University of Warwick. https://doi.org/10.2140/gt.2012.16.1609
View | DOI | Download (ext.)
 
[22]
2011 | Journal Article | IST-REx-ID: 1467 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2011). Arithmetic harmonic analysis on character and quiver varieties. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1444258
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1466 | OA
Hausel, T., Letellier, E., & Rodríguez Villegas, F. (2010). Topology of character varieties and representations of quivers. Comptes Rendus Mathematique. Elsevier. https://doi.org/10.1016/j.crma.2010.01.025
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1465 | OA
Hausel, T. (2010). Kac’s conjecture from Nakajima quiver varieties. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-010-0241-3
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468 | OA
Hausel, T. (2010). S-Duality in HyperkäHler Hodge Theory. In The Many Facets of Geometry: A Tribute to Nigel Hitchin. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780199534920.003.0016
View | DOI | Download (ext.)
 
[18]
2008 | Journal Article | IST-REx-ID: 1460 | OA
Hausel, T., & Rodríguez Villegas, F. (2008). Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-008-0142-x
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1462 | OA
Hausel, T. (2006). Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.0601337103
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1461 | OA
Hausel, T., & Swartz, E. (2006). Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0002-9939-06-08248-7
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447 | OA
Hausel, T. (2005). Quaternionic geometry of matroids. Open Mathematics. Central European Science Journals. https://doi.org/10.2478/BF02475653
View | DOI | Download (ext.)
 
[14]
2005 | Book Chapter | IST-REx-ID: 1444 | OA
Hausel, T. (2005). Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve. In Geometric Methods in Algebra and Number Theory (Vol. 235, pp. 193–217). Springer. https://doi.org/10.1007/0-8176-4417-2_9
View | DOI | Download (ext.)
 
[13]
2005 | Journal Article | IST-REx-ID: 1463 | OA
Hausel, T., & Proudfoot, N. (2005). Abelianization for hyperkähler quotients. Topology. Elsevier. https://doi.org/10.1016/j.top.2004.04.002
View | DOI | Download (ext.)
 
[12]
2004 | Journal Article | IST-REx-ID: 1456 | OA
Hausel, T., Hunsicker, E., & Mazzeo, R. (2004). Hodge cohomology of gravitational instantons. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/S0012-7094-04-12233-X
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1464 | OA
Hausel, T., & Thaddeus, M. (2004). Generators for the cohomology ring of the moduli space of rank 2 higgs bundles. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/S0024611503014618
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457 | OA
Hausel, T., & Thaddeus, M. (2003). Mirror symmetry, langlands duality, and the Hitchin system. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-003-0286-7
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458 | OA
Hausel, T., & Thaddeus, M. (2003). Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Journal of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-02-00417-4
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459 | OA
Etesi, G., & Hausel, T. (2003). On Yang-Mills instantons over multi-centered gravitational instantons. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-003-0806-8
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451 | OA
Hausel, T., & Sturmfels, B. (2002). Toric hyperkähler varieties. Documenta Mathematica. Deutsche Mathematiker Vereinigung. https://doi.org/10.4171/DM/130
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Journal Article | IST-REx-ID: 1452 | OA
Hausel, T., & Thaddeus, M. (2001). Examples of mirror partners arising from integrable systems. Comptes Rendus de l’Academie Des Sciences - Series I: Mathematics. Elsevier. https://doi.org/10.1016/S0764-4442(01)02057-2
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[5]
2001 | Journal Article | IST-REx-ID: 1453 | OA
Etesi, G., & Hausel, T. (2001). Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. Elsevier. https://doi.org/10.1016/S0370-2693(01)00821-8
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2001 | Journal Article | IST-REx-ID: 1454 | OA
Etesi, G., & Hausel, T. (2001). Geometric interpretation of Schwarzschild instantons. Journal of Geometry and Physics. Elsevier. https://doi.org/10.1016/S0393-0440(00)00040-1
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[3]
2000 | Journal Article | IST-REx-ID: 1455 | OA
Hausel, T., Makai, E., & Szücs, A. (2000). Inscribing cubes and covering by rhombic dodecahedra via equivariant topology. Mathematika. University College London. https://doi.org/10.1112/S0025579300015965
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Journal Article | IST-REx-ID: 1450 | OA
Hausel, T. (1998). Vanishing of intersection numbers on the moduli space of Higgs bundles. Advances in Theoretical and Mathematical Physics. International Press. https://doi.org/10.4310/ATMP.1998.v2.n5.a3
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
1998 | Journal Article | IST-REx-ID: 1449 | OA
Hausel, T. (1998). Compactification of moduli of Higgs bundles. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crll.1998.096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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