INTERSECTION COHOMOLOGY OF REPRESENTATION SPACES OF SURFACE GROUPS

DOI10.1142/S0129167X06003424zbMath1091.55003arXivmath/0101256OpenAlexW2043583717MaRDI QIDQ3379527

Young-Hoon Kiem

Publication date: 6 April 2006

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101256

zbMATH Keywords

intersection cohomologysymplectic reductionsurface grouprepresentation space

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Momentum maps; symplectic reduction (53D20) Intersection homology and cohomology in algebraic topology (55N33)

Related Items (3)

INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ Intersection cohomology of quotients of nonsingular varieties ⋮ Yang-Mills connections on orientable and nonorientable surfaces

Cites Work

• The symplectic nature of fundamental groups of surfaces
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Stratified symplectic spaces and reduction
• Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
• Singular reduction and quantization
• Extended moduli spaces of flat connections on Riemann surfaces
• Cohomology pairings on singular quotients in geometric invariant theory.
• Intersection cohomology of quotients of nonsingular varieties
• The action of the Torelli group on the homology of representation spaces is nontrivial
• Stable principal bundles on a compact Riemann surface
• INTERSECTION COHOMOLOGY OF SYMPLECTIC QUOTIENTS BY CIRCLE ACTIONS
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

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