Heat kernel and moduli spaces II

Details Heat kernel and moduli spaces II Heat kernel and moduli spaces II

1996-12-01

arxiv.org/abs/dg-ga/9612001v3

Mathematics

Algebraic Geometry

A mistakes in Section 4 is corrected, argument in Section 5 is clarified. To appear in MRL

Scientific paper

In this paper we continue our study on the moduli spaces of flat G-bundles, for any semi-simple Lie group G, over a Riemann surface by using heat kernel and Reidemeister torsion. Formulas for intersection numbers on the moduli spaces over a Riemann surface with several boundary components, over non-orientable Riemann surfaces are obtained. Some general vanishing theorems about characteristic numbers of the moduli spaces are proved. We also extend our method to study Higgs moduli spaces, to introduce invariants for knots and 3-manifolds.

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