Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles

DOI10.4310/jdg/1303219773zbMath1230.14046arXivmath/0701560OpenAlexW1603090822WikidataQ60137712 ScholiaQ60137712MaRDI QIDQ542367

Georgios Daskapoulos, Graeme Wilkin, Jonathan Weitsman, Richard A. Wentworth

Publication date: 8 June 2011

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701560

zbMATH Keywords

equivariant Betti numberequivariant Morse theoryhyperkähler Kirwan mapmoduli space of Higgs bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (10)

Morse theory for the space of Higgs \(G\)-bundles ⋮ INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ Antiperfect Morse stratification ⋮ Higgs Bundles and Local Systems on Riemann Surfaces ⋮ \(\mathrm{SO}(2n, \mathbb{C})\)-character varieties are not varieties of characters ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces ⋮ Morse theory, Higgs fields, and Yang-Mills-Higgs functionals ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Character varieties ⋮ Equivariant Morse Theory for the Norm-Square of a Moment Map on a Variety

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