Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles

DOI10.1090/S0894-0347-02-00417-4zbMath1015.14018arXivmath/0003094MaRDI QIDQ4794623

Tamás Hausel, Michael Thaddeus

Publication date: 19 February 2003

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003094

zbMATH Keywords

cohomology ringmoduli space of stable Higgs bundles

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Classical real and complex (co)homology in algebraic geometry (14F25) Vector bundles on curves and their moduli (14H60) Topological aspects of complex manifolds (32Q55)

Related Items (15)

Shatz and Bialynicki-Birula stratifications of the moduli space of Higgs bundles ⋮ Introduction to Nonabelian Hodge Theory ⋮ The dual boundary complex of the \(SL_2\) character variety of a punctured sphere ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\) ⋮ Critical loci for Higgs bundles ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces ⋮ BIRATIONAL EQUIVALENCE OF HIGGS MODULI ⋮ Variations of Hodge structures of rank three \(k\)-Higgs bundles and moduli spaces of holomorphic triples ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz. ⋮ Endoscopic decompositions and the Hausel–Thaddeus conjecture ⋮ Character varieties ⋮ Arithmetic and representation theory of wild character varieties ⋮ A Note on Representation Variety of Abelian Groups and Reidemeister Torsion

Uses Software

• Macaulay2

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