Tamas Hausel

Hausel Group

35 Publications

Mark all

[35]
2024 | Journal Article | IST-REx-ID: 14930
Hausel T, Letellier E, Rodriguez-Villegas F. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00914-2
View | DOI
 
[34]
2023 | Journal Article | IST-REx-ID: 14244 | OA
Hausel T, Wong ML, Wyss D. Arithmetic and metric aspects of open de Rham spaces. Proceedings of the London Mathematical Society. 2023;127(4):958-1027. doi: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. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. 2022;228:893-989. doi: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. Geometry and physics of Higgs bundles. Oberwolfach Reports. 2020;16(2):1357-1417. doi:10.4171/owr/2019/23
View | DOI
 
[31]
2019 | Journal Article | IST-REx-ID: 439 | OA
Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 2019;21(10):2995-3052. doi: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. Mirror symmetry with branes by equivariant verlinde formulas. In: Geometry and Physics: Volume I. Oxford University Press; 2018:189-218. doi:10.1093/oso/9780198802013.003.0009
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473 | OA
Hausel T, Rodríguez Villegas F. Cohomology of large semiprojective hyperkähler varieties. Asterisque. 2015;2015(370):113-156.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1442 | OA
Hausel T, Letellier E, Rodríguez Villegas F. Positivity for Kac polynomials and DT-invariants of quivers. Annals of Mathematics. 2013;177(3):1147-1168. doi:10.4007/annals.2013.177.3.8
View | DOI | Download (ext.)
 
[27]
2013 | Book Chapter | IST-REx-ID: 1443 | OA
Hausel T. Global topology of the Hitchin system. In: Handbook of Moduli: Volume II. Vol 25. International Press; 2013:29-70.
View | Download (ext.)
 
[26]
2013 | Journal Article | IST-REx-ID: 1469
Hausel T, Letellier E, Rodríguez Villegas F. Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. 2013;234:85-128. doi: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. Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Journal of Singularities. 2013;7:23-38. doi: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. Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. 2012;175(3):1329-1407. doi:10.4007/annals.2012.175.3.7
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1471 | OA
Hausel T, Pauly C. Prym varieties of spectral covers. Geometry and Topology. 2012;16(3):1609-1638. doi: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. Arithmetic harmonic analysis on character and quiver varieties. Duke Mathematical Journal. 2011;160(2):323-400. doi:10.1215/00127094-1444258
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1466 | OA
Hausel T, Letellier E, Rodríguez Villegas F. Topology of character varieties and representations of quivers. Comptes Rendus Mathematique. 2010;348(3-4):131-135. doi:10.1016/j.crma.2010.01.025
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1465 | OA
Hausel T. Kac’s conjecture from Nakajima quiver varieties. Inventiones Mathematicae. 2010;181(1):21-37. doi:10.1007/s00222-010-0241-3
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468 | OA
Hausel T. S-Duality in HyperkäHler Hodge Theory. In: The Many Facets of Geometry: A Tribute to Nigel Hitchin. Oxford University Press; 2010. doi: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. Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz. Inventiones Mathematicae. 2008;174(3):555-624. doi:10.1007/s00222-008-0142-x
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1462 | OA
Hausel T. Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. PNAS. 2006;103(16):6120-6124. doi:10.1073/pnas.0601337103
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1461 | OA
Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 2006;134(8):2403-2409. doi:10.1090/S0002-9939-06-08248-7
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447 | OA
Hausel T. Quaternionic geometry of matroids. Open Mathematics. 2005;3(1):26-38. doi:10.2478/BF02475653
View | DOI | Download (ext.)
 
[14]
2005 | Book Chapter | IST-REx-ID: 1444 | OA
Hausel T. Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve. In: Geometric Methods in Algebra and Number Theory. Vol 235. Springer; 2005:193-217. doi:10.1007/0-8176-4417-2_9
View | DOI | Download (ext.)
 
[13]
2005 | Journal Article | IST-REx-ID: 1463 | OA
Hausel T, Proudfoot N. Abelianization for hyperkähler quotients. Topology. 2005;44(1):231-248. doi: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. Hodge cohomology of gravitational instantons. Duke Mathematical Journal. 2004;122(3):485-548. doi:10.1215/S0012-7094-04-12233-X
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1464 | OA
Hausel T, Thaddeus M. Generators for the cohomology ring of the moduli space of rank 2 higgs bundles. Proceedings of the London Mathematical Society. 2004;88(3):632-658. doi:10.1112/S0024611503014618
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457 | OA
Hausel T, Thaddeus M. Mirror symmetry, langlands duality, and the Hitchin system. Inventiones Mathematicae. 2003;153(1):197-229. doi:10.1007/s00222-003-0286-7
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458 | OA
Hausel T, Thaddeus M. Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Journal of the American Mathematical Society. 2003;16(2):303-329. doi:10.1090/S0894-0347-02-00417-4
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459 | OA
Etesi G, Hausel T. On Yang-Mills instantons over multi-centered gravitational instantons. Communications in Mathematical Physics. 2003;235(2):275-288. doi:10.1007/s00220-003-0806-8
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451 | OA
Hausel T, Sturmfels B. Toric hyperkähler varieties. Documenta Mathematica. 2002;7(1):495-534. doi: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. Examples of mirror partners arising from integrable systems. Comptes Rendus de l’Academie des Sciences - Series I: Mathematics. 2001;333(4):313-318. doi: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. Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2001;514(1-2):189-199. doi: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. Geometric interpretation of Schwarzschild instantons. Journal of Geometry and Physics. 2001;37(1-2):126-136. doi: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. Inscribing cubes and covering by rhombic dodecahedra via equivariant topology. Mathematika. 2000;47(1-2):371-397. doi:10.1112/S0025579300015965
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Journal Article | IST-REx-ID: 1450 | OA
Hausel T. Vanishing of intersection numbers on the moduli space of Higgs bundles. Advances in Theoretical and Mathematical Physics. 1998;2(5):1011-1040. doi: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. Compactification of moduli of Higgs bundles. Journal fur die Reine und Angewandte Mathematik. 1998;1998(503):169-192. doi:10.1515/crll.1998.096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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35 Publications

Mark all

[35]
2024 | Journal Article | IST-REx-ID: 14930
Hausel T, Letellier E, Rodriguez-Villegas F. Locally free representations of quivers over commutative Frobenius algebras. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00914-2
View | DOI
 
[34]
2023 | Journal Article | IST-REx-ID: 14244 | OA
Hausel T, Wong ML, Wyss D. Arithmetic and metric aspects of open de Rham spaces. Proceedings of the London Mathematical Society. 2023;127(4):958-1027. doi: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. Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. Inventiones Mathematicae. 2022;228:893-989. doi: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. Geometry and physics of Higgs bundles. Oberwolfach Reports. 2020;16(2):1357-1417. doi:10.4171/owr/2019/23
View | DOI
 
[31]
2019 | Journal Article | IST-REx-ID: 439 | OA
Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 2019;21(10):2995-3052. doi: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. Mirror symmetry with branes by equivariant verlinde formulas. In: Geometry and Physics: Volume I. Oxford University Press; 2018:189-218. doi:10.1093/oso/9780198802013.003.0009
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473 | OA
Hausel T, Rodríguez Villegas F. Cohomology of large semiprojective hyperkähler varieties. Asterisque. 2015;2015(370):113-156.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1442 | OA
Hausel T, Letellier E, Rodríguez Villegas F. Positivity for Kac polynomials and DT-invariants of quivers. Annals of Mathematics. 2013;177(3):1147-1168. doi:10.4007/annals.2013.177.3.8
View | DOI | Download (ext.)
 
[27]
2013 | Book Chapter | IST-REx-ID: 1443 | OA
Hausel T. Global topology of the Hitchin system. In: Handbook of Moduli: Volume II. Vol 25. International Press; 2013:29-70.
View | Download (ext.)
 
[26]
2013 | Journal Article | IST-REx-ID: 1469
Hausel T, Letellier E, Rodríguez Villegas F. Arithmetic harmonic analysis on character and quiver varieties II. Advances in Mathematics. 2013;234:85-128. doi: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. Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces. Journal of Singularities. 2013;7:23-38. doi: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. Topology of hitchin systems and Hodge theory of character varieties: The case A 1. Annals of Mathematics. 2012;175(3):1329-1407. doi:10.4007/annals.2012.175.3.7
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1471 | OA
Hausel T, Pauly C. Prym varieties of spectral covers. Geometry and Topology. 2012;16(3):1609-1638. doi: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. Arithmetic harmonic analysis on character and quiver varieties. Duke Mathematical Journal. 2011;160(2):323-400. doi:10.1215/00127094-1444258
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1466 | OA
Hausel T, Letellier E, Rodríguez Villegas F. Topology of character varieties and representations of quivers. Comptes Rendus Mathematique. 2010;348(3-4):131-135. doi:10.1016/j.crma.2010.01.025
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1465 | OA
Hausel T. Kac’s conjecture from Nakajima quiver varieties. Inventiones Mathematicae. 2010;181(1):21-37. doi:10.1007/s00222-010-0241-3
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468 | OA
Hausel T. S-Duality in HyperkäHler Hodge Theory. In: The Many Facets of Geometry: A Tribute to Nigel Hitchin. Oxford University Press; 2010. doi: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. Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz. Inventiones Mathematicae. 2008;174(3):555-624. doi:10.1007/s00222-008-0142-x
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1462 | OA
Hausel T. Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform. PNAS. 2006;103(16):6120-6124. doi:10.1073/pnas.0601337103
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1461 | OA
Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. Proceedings of the American Mathematical Society. 2006;134(8):2403-2409. doi:10.1090/S0002-9939-06-08248-7
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447 | OA
Hausel T. Quaternionic geometry of matroids. Open Mathematics. 2005;3(1):26-38. doi:10.2478/BF02475653
View | DOI | Download (ext.)
 
[14]
2005 | Book Chapter | IST-REx-ID: 1444 | OA
Hausel T. Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve. In: Geometric Methods in Algebra and Number Theory. Vol 235. Springer; 2005:193-217. doi:10.1007/0-8176-4417-2_9
View | DOI | Download (ext.)
 
[13]
2005 | Journal Article | IST-REx-ID: 1463 | OA
Hausel T, Proudfoot N. Abelianization for hyperkähler quotients. Topology. 2005;44(1):231-248. doi: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. Hodge cohomology of gravitational instantons. Duke Mathematical Journal. 2004;122(3):485-548. doi:10.1215/S0012-7094-04-12233-X
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1464 | OA
Hausel T, Thaddeus M. Generators for the cohomology ring of the moduli space of rank 2 higgs bundles. Proceedings of the London Mathematical Society. 2004;88(3):632-658. doi:10.1112/S0024611503014618
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457 | OA
Hausel T, Thaddeus M. Mirror symmetry, langlands duality, and the Hitchin system. Inventiones Mathematicae. 2003;153(1):197-229. doi:10.1007/s00222-003-0286-7
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458 | OA
Hausel T, Thaddeus M. Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles. Journal of the American Mathematical Society. 2003;16(2):303-329. doi:10.1090/S0894-0347-02-00417-4
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459 | OA
Etesi G, Hausel T. On Yang-Mills instantons over multi-centered gravitational instantons. Communications in Mathematical Physics. 2003;235(2):275-288. doi:10.1007/s00220-003-0806-8
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451 | OA
Hausel T, Sturmfels B. Toric hyperkähler varieties. Documenta Mathematica. 2002;7(1):495-534. doi: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. Examples of mirror partners arising from integrable systems. Comptes Rendus de l’Academie des Sciences - Series I: Mathematics. 2001;333(4):313-318. doi: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. Geometric construction of new Yang-Mills instantons over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2001;514(1-2):189-199. doi: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. Geometric interpretation of Schwarzschild instantons. Journal of Geometry and Physics. 2001;37(1-2):126-136. doi: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. Inscribing cubes and covering by rhombic dodecahedra via equivariant topology. Mathematika. 2000;47(1-2):371-397. doi:10.1112/S0025579300015965
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[2]
1998 | Journal Article | IST-REx-ID: 1450 | OA
Hausel T. Vanishing of intersection numbers on the moduli space of Higgs bundles. Advances in Theoretical and Mathematical Physics. 1998;2(5):1011-1040. doi: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. Compactification of moduli of Higgs bundles. Journal fur die Reine und Angewandte Mathematik. 1998;1998(503):169-192. doi:10.1515/crll.1998.096
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
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    Citation Style: AMA

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