Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds
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Publication:1895992
DOI10.1215/S0012-7094-95-07712-6zbMath0870.57013arXivalg-geom/9404012OpenAlexW1977746277MaRDI QIDQ1895992
Publication date: 17 September 1995
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/alg-geom/9404012
Moduli problems for topological structures (58D29) General geometric structures on low-dimensional manifolds (57M50)
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Cites Work
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- The symplectic nature of fundamental groups of surfaces
- Conformal field theory and the cohomology of the moduli space of stable bundles
- Simplicial De Rham cohomology and characteristic classes of flat bundles
- On the de Rham theory of certain classifying spaces
- Extended moduli spaces of flat connections on Riemann surfaces
- Toric structures on the moduli space of flat connections on a Riemann surface: Volumes and the moment map
- The equivariant Chern character for non-compact Lie groups
- On the Chern-Weil homomorphism and the continuous cohomology of Lie- groups
- Localization for nonabelian group actions
- Categories and cohomology theories
- Classifying spaces and spectral sequences
- An Algebraic Proof for the Symplectic Structure of Moduli Space
- Symplectic Forms on Moduli Spaces of Flat Connections on 2-manifolds
- The Yang-Mills equations over Riemann surfaces