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Witten's formulas for intersection pairings on moduli spaces of flatG-bundles

Authors
Journal
Advances in Mathematics
0001-8708
Publisher
Elsevier
Publication Date
Volume
197
Issue
1
Identifiers
DOI: 10.1016/j.aim.2004.10.002
Keywords
  • Symplectic Geometry
  • Moment Maps
  • Moduli Spaces
  • Stable Bundles
  • Intersection Pairings
  • Bott–Shulman Construction

Abstract

Abstract In a 1992 paper (J. Geom. Phys. 9 (1992) 303), Witten gave a formula for the intersection pairings of the moduli space of flat G-bundles over an oriented surface, possibly with markings. In this paper, we give a general proof of Witten's formula, for arbitrary compact, simple groups, and any markings for which the moduli space has at most orbifold singularities.

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