31 Publications

Mark all

[31]
2019 | Journal Article | IST-REx-ID: 439   OA
T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” Journal of the European Mathematical Society, vol. 21, no. 10, pp. 2995–3052, 2019.
View | DOI | Download (ext.) | arXiv
 
[30]
2018 | Book Chapter | IST-REx-ID: 6525
T. Hausel, A. Mellit, and D. Pei, “Mirror symmetry with branes by equivariant verlinde formulas,” in Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473   OA
T. Hausel and F. Rodríguez Villegas, “Cohomology of large semiprojective hyperkähler varieties,” Asterisque, vol. 2015, no. 370. Societe Mathematique de France, pp. 113–156, 2015.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1469
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis on character and quiver varieties II,” Advances in Mathematics, vol. 234, pp. 85–128, 2013.
View | DOI
 
[27]
2013 | Journal Article | IST-REx-ID: 1442   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Positivity for Kac polynomials and DT-invariants of quivers,” Annals of Mathematics, vol. 177, no. 3, pp. 1147–1168, 2013.
View | DOI | Download (ext.)
 
[26]
2013 | Book Chapter | IST-REx-ID: 1443   OA
T. Hausel, “Global topology of the Hitchin system,” in Handbook of Moduli: Volume II, vol. 25, International Press, 2013, pp. 29–70.
View | Download (ext.)
 
[25]
2013 | Journal Article | IST-REx-ID: 1470   OA
M. De Cataldo, T. Hausel, and L. Migliorini, “Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces,” Journal of Singularities, vol. 7, pp. 23–38, 2013.
View | DOI | Download (ext.)
 
[24]
2012 | Journal Article | IST-REx-ID: 1471   OA
T. Hausel and C. Pauly, “Prym varieties of spectral covers,” Geometry and Topology, vol. 16, no. 3, pp. 1609–1638, 2012.
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1472   OA
M. De Cataldo, T. Hausel, and L. Migliorini, “Topology of hitchin systems and Hodge theory of character varieties: The case A 1,” Annals of Mathematics, vol. 175, no. 3, pp. 1329–1407, 2012.
View | DOI | Download (ext.)
 
[22]
2011 | Journal Article | IST-REx-ID: 1467   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis on character and quiver varieties,” Duke Mathematical Journal, vol. 160, no. 2, pp. 323–400, 2011.
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1465   OA
T. Hausel, “Kac’s conjecture from Nakajima quiver varieties,” Inventiones Mathematicae, vol. 181, no. 1, pp. 21–37, 2010.
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1466   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Topology of character varieties and representations of quivers,” Comptes Rendus Mathematique, vol. 348, no. 3–4, pp. 131–135, 2010.
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468   OA
T. Hausel, “S-Duality in HyperkäHler Hodge Theory,” in The Many Facets of Geometry: A Tribute to Nigel Hitchin, Oxford University Press, 2010.
View | DOI | Download (ext.)
 
[18]
2008 | Journal Article | IST-REx-ID: 1460   OA
T. Hausel and F. Rodríguez Villegas, “Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz,” Inventiones Mathematicae, vol. 174, no. 3, pp. 555–624, 2008.
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1461   OA
T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” Proceedings of the American Mathematical Society, vol. 134, no. 8, pp. 2403–2409, 2006.
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1462   OA
T. Hausel, “Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform,” PNAS, vol. 103, no. 16, pp. 6120–6124, 2006.
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447   OA
T. Hausel, “Quaternionic geometry of matroids,” Open Mathematics, vol. 3, no. 1, pp. 26–38, 2005.
View | DOI | Download (ext.)
 
[14]
2005 | Journal Article | IST-REx-ID: 1463   OA
T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” Topology, vol. 44, no. 1, pp. 231–248, 2005.
View | DOI | Download (ext.)
 
[13]
2005 | Book Chapter | IST-REx-ID: 1444   OA
T. Hausel, “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, pp. 193–217.
View | DOI | Download (ext.)
 
[12]
2004 | Journal Article | IST-REx-ID: 1464   OA
T. Hausel and M. Thaddeus, “Generators for the cohomology ring of the moduli space of rank 2 higgs bundles,” Proceedings of the London Mathematical Society, vol. 88, no. 3, pp. 632–658, 2004.
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1456   OA
T. Hausel, E. Hunsicker, and R. Mazzeo, “Hodge cohomology of gravitational instantons,” Duke Mathematical Journal, vol. 122, no. 3, pp. 485–548, 2004.
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457   OA
T. Hausel and M. Thaddeus, “Mirror symmetry, langlands duality, and the Hitchin system,” Inventiones Mathematicae, vol. 153, no. 1, pp. 197–229, 2003.
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458   OA
T. Hausel and M. Thaddeus, “Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles,” Journal of the American Mathematical Society, vol. 16, no. 2, pp. 303–329, 2003.
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459   OA
G. Etesi and T. Hausel, “On Yang-Mills instantons over multi-centered gravitational instantons,” Communications in Mathematical Physics, vol. 235, no. 2, pp. 275–288, 2003.
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451   OA
T. Hausel and B. Sturmfels, “Toric hyperkähler varieties,” Documenta Mathematica, vol. 7, no. 1, pp. 495–534, 2002.
View | Download (ext.)
 
[6]
2001 | Journal Article | IST-REx-ID: 1452   OA
T. Hausel and M. Thaddeus, “Examples of mirror partners arising from integrable systems,” Comptes Rendus de l’Academie des Sciences - Series I: Mathematics, vol. 333, no. 4, pp. 313–318, 2001.
View | DOI | Download (ext.)
 
[5]
2001 | Journal Article | IST-REx-ID: 1453   OA
G. Etesi and T. Hausel, “Geometric construction of new Yang-Mills instantons over Taub-NUT space,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 514, no. 1–2, pp. 189–199, 2001.
View | DOI | Download (ext.)
 
[4]
2001 | Journal Article | IST-REx-ID: 1454   OA
G. Etesi and T. Hausel, “Geometric interpretation of Schwarzschild instantons,” Journal of Geometry and Physics, vol. 37, no. 1–2, pp. 126–136, 2001.
View | DOI | Download (ext.)
 
[3]
2000 | Journal Article | IST-REx-ID: 1455   OA
T. Hausel, E. Makai, and A. Szücs, “Inscribing cubes and covering by rhombic dodecahedra via equivariant topology,” Mathematika, vol. 47, no. 1–2, pp. 371–397, 2000.
View | DOI | Download (ext.)
 
[2]
1998 | Journal Article | IST-REx-ID: 1450   OA
T. Hausel, “Vanishing of intersection numbers on the moduli space of Higgs bundles,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 5, pp. 1011–1040, 1998.
View | DOI | Download (ext.)
 
[1]
1998 | Journal Article | IST-REx-ID: 1449   OA
T. Hausel, “Compactification of moduli of Higgs bundles,” Journal fur die Reine und Angewandte Mathematik, vol. 1998, no. 503, pp. 169–192, 1998.
View | DOI | Download (ext.)
 

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31 Publications

Mark all

[31]
2019 | Journal Article | IST-REx-ID: 439   OA
T. Hausel, M. Mereb, and M. Wong, “Arithmetic and representation theory of wild character varieties,” Journal of the European Mathematical Society, vol. 21, no. 10, pp. 2995–3052, 2019.
View | DOI | Download (ext.) | arXiv
 
[30]
2018 | Book Chapter | IST-REx-ID: 6525
T. Hausel, A. Mellit, and D. Pei, “Mirror symmetry with branes by equivariant verlinde formulas,” in Geometry and Physics: Volume I, Oxford University Press, 2018, pp. 189–218.
View | DOI
 
[29]
2015 | Book Review | IST-REx-ID: 1473   OA
T. Hausel and F. Rodríguez Villegas, “Cohomology of large semiprojective hyperkähler varieties,” Asterisque, vol. 2015, no. 370. Societe Mathematique de France, pp. 113–156, 2015.
View | Download (ext.)
 
[28]
2013 | Journal Article | IST-REx-ID: 1469
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis on character and quiver varieties II,” Advances in Mathematics, vol. 234, pp. 85–128, 2013.
View | DOI
 
[27]
2013 | Journal Article | IST-REx-ID: 1442   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Positivity for Kac polynomials and DT-invariants of quivers,” Annals of Mathematics, vol. 177, no. 3, pp. 1147–1168, 2013.
View | DOI | Download (ext.)
 
[26]
2013 | Book Chapter | IST-REx-ID: 1443   OA
T. Hausel, “Global topology of the Hitchin system,” in Handbook of Moduli: Volume II, vol. 25, International Press, 2013, pp. 29–70.
View | Download (ext.)
 
[25]
2013 | Journal Article | IST-REx-ID: 1470   OA
M. De Cataldo, T. Hausel, and L. Migliorini, “Exchange between perverse and weight filtration for the Hilbert schemes of points of two surfaces,” Journal of Singularities, vol. 7, pp. 23–38, 2013.
View | DOI | Download (ext.)
 
[24]
2012 | Journal Article | IST-REx-ID: 1471   OA
T. Hausel and C. Pauly, “Prym varieties of spectral covers,” Geometry and Topology, vol. 16, no. 3, pp. 1609–1638, 2012.
View | DOI | Download (ext.)
 
[23]
2012 | Journal Article | IST-REx-ID: 1472   OA
M. De Cataldo, T. Hausel, and L. Migliorini, “Topology of hitchin systems and Hodge theory of character varieties: The case A 1,” Annals of Mathematics, vol. 175, no. 3, pp. 1329–1407, 2012.
View | DOI | Download (ext.)
 
[22]
2011 | Journal Article | IST-REx-ID: 1467   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Arithmetic harmonic analysis on character and quiver varieties,” Duke Mathematical Journal, vol. 160, no. 2, pp. 323–400, 2011.
View | DOI | Download (ext.)
 
[21]
2010 | Journal Article | IST-REx-ID: 1465   OA
T. Hausel, “Kac’s conjecture from Nakajima quiver varieties,” Inventiones Mathematicae, vol. 181, no. 1, pp. 21–37, 2010.
View | DOI | Download (ext.)
 
[20]
2010 | Journal Article | IST-REx-ID: 1466   OA
T. Hausel, E. Letellier, and F. Rodríguez Villegas, “Topology of character varieties and representations of quivers,” Comptes Rendus Mathematique, vol. 348, no. 3–4, pp. 131–135, 2010.
View | DOI | Download (ext.)
 
[19]
2010 | Book Chapter | IST-REx-ID: 1468   OA
T. Hausel, “S-Duality in HyperkäHler Hodge Theory,” in The Many Facets of Geometry: A Tribute to Nigel Hitchin, Oxford University Press, 2010.
View | DOI | Download (ext.)
 
[18]
2008 | Journal Article | IST-REx-ID: 1460   OA
T. Hausel and F. Rodríguez Villegas, “Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz,” Inventiones Mathematicae, vol. 174, no. 3, pp. 555–624, 2008.
View | DOI | Download (ext.)
 
[17]
2006 | Journal Article | IST-REx-ID: 1461   OA
T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,” Proceedings of the American Mathematical Society, vol. 134, no. 8, pp. 2403–2409, 2006.
View | DOI | Download (ext.)
 
[16]
2006 | Journal Article | IST-REx-ID: 1462   OA
T. Hausel, “Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform,” PNAS, vol. 103, no. 16, pp. 6120–6124, 2006.
View | DOI | Download (ext.)
 
[15]
2005 | Journal Article | IST-REx-ID: 1447   OA
T. Hausel, “Quaternionic geometry of matroids,” Open Mathematics, vol. 3, no. 1, pp. 26–38, 2005.
View | DOI | Download (ext.)
 
[14]
2005 | Journal Article | IST-REx-ID: 1463   OA
T. Hausel and N. Proudfoot, “Abelianization for hyperkähler quotients,” Topology, vol. 44, no. 1, pp. 231–248, 2005.
View | DOI | Download (ext.)
 
[13]
2005 | Book Chapter | IST-REx-ID: 1444   OA
T. Hausel, “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, pp. 193–217.
View | DOI | Download (ext.)
 
[12]
2004 | Journal Article | IST-REx-ID: 1464   OA
T. Hausel and M. Thaddeus, “Generators for the cohomology ring of the moduli space of rank 2 higgs bundles,” Proceedings of the London Mathematical Society, vol. 88, no. 3, pp. 632–658, 2004.
View | DOI | Download (ext.)
 
[11]
2004 | Journal Article | IST-REx-ID: 1456   OA
T. Hausel, E. Hunsicker, and R. Mazzeo, “Hodge cohomology of gravitational instantons,” Duke Mathematical Journal, vol. 122, no. 3, pp. 485–548, 2004.
View | DOI | Download (ext.)
 
[10]
2003 | Journal Article | IST-REx-ID: 1457   OA
T. Hausel and M. Thaddeus, “Mirror symmetry, langlands duality, and the Hitchin system,” Inventiones Mathematicae, vol. 153, no. 1, pp. 197–229, 2003.
View | DOI | Download (ext.)
 
[9]
2003 | Journal Article | IST-REx-ID: 1458   OA
T. Hausel and M. Thaddeus, “Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles,” Journal of the American Mathematical Society, vol. 16, no. 2, pp. 303–329, 2003.
View | DOI | Download (ext.)
 
[8]
2003 | Journal Article | IST-REx-ID: 1459   OA
G. Etesi and T. Hausel, “On Yang-Mills instantons over multi-centered gravitational instantons,” Communications in Mathematical Physics, vol. 235, no. 2, pp. 275–288, 2003.
View | DOI | Download (ext.)
 
[7]
2002 | Journal Article | IST-REx-ID: 1451   OA
T. Hausel and B. Sturmfels, “Toric hyperkähler varieties,” Documenta Mathematica, vol. 7, no. 1, pp. 495–534, 2002.
View | Download (ext.)
 
[6]
2001 | Journal Article | IST-REx-ID: 1452   OA
T. Hausel and M. Thaddeus, “Examples of mirror partners arising from integrable systems,” Comptes Rendus de l’Academie des Sciences - Series I: Mathematics, vol. 333, no. 4, pp. 313–318, 2001.
View | DOI | Download (ext.)
 
[5]
2001 | Journal Article | IST-REx-ID: 1453   OA
G. Etesi and T. Hausel, “Geometric construction of new Yang-Mills instantons over Taub-NUT space,” Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 514, no. 1–2, pp. 189–199, 2001.
View | DOI | Download (ext.)
 
[4]
2001 | Journal Article | IST-REx-ID: 1454   OA
G. Etesi and T. Hausel, “Geometric interpretation of Schwarzschild instantons,” Journal of Geometry and Physics, vol. 37, no. 1–2, pp. 126–136, 2001.
View | DOI | Download (ext.)
 
[3]
2000 | Journal Article | IST-REx-ID: 1455   OA
T. Hausel, E. Makai, and A. Szücs, “Inscribing cubes and covering by rhombic dodecahedra via equivariant topology,” Mathematika, vol. 47, no. 1–2, pp. 371–397, 2000.
View | DOI | Download (ext.)
 
[2]
1998 | Journal Article | IST-REx-ID: 1450   OA
T. Hausel, “Vanishing of intersection numbers on the moduli space of Higgs bundles,” Advances in Theoretical and Mathematical Physics, vol. 2, no. 5, pp. 1011–1040, 1998.
View | DOI | Download (ext.)
 
[1]
1998 | Journal Article | IST-REx-ID: 1449   OA
T. Hausel, “Compactification of moduli of Higgs bundles,” Journal fur die Reine und Angewandte Mathematik, vol. 1998, no. 503, pp. 169–192, 1998.
View | DOI | Download (ext.)
 

Search

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