Witten's formulas for intersection pairings on moduli spaces of flat $G$-bundles

Details Witten's formulas for intersection pairings on moduli spaces of flat $G$-bundles Witten's formulas for intersection pairings on moduli spaces of flat $G$-bundles

2003-12-18

arxiv.org/abs/math/0312355v1

Advances in Mathematics 197 (2005), 140-197

Mathematics

Symplectic Geometry

46 pages

Scientific paper

In a 1992 paper, 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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