Heat Kernel and Moduli Spaces

  title={Heat Kernel and Moduli Spaces},
  author={Kefeng Liu},
In this paper we describe a proof of the formulas of Witten [W1], [W2] about the symplectic volumes and the intersection numbers of the moduli spaces of principal bundles on a compact Riemann surface. It is known that these formulas give all the information needed for the Verlinde formula. The main idea of the proof is to use the heat kernel on compact Lie groups, in a way very similar to the heat kernel proof of the Atiyah-Singer index formula and the Atiyah-Bott fixed point formula. The… CONTINUE READING
Highly Cited
This paper has 22 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 18 references

A note on the Jeffrey-Kirwan-Witten localization

M. Vergne
formula, Topology, • 1996

Gluing techniques in the cohomology of moduli spaces,, in Topological metheods in modern mathematics

S. Donaldson
Publish or Perish • 1995

Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surfaces

L. JK Jeffrey, F. Kirwan
Electronic Research Anouncements of AMS, • 1995

Extended moduli spaces of flat connections on Riemann surfaces

L. Jeffrey
, Commun . Math . Phys . • 1993

Small volume limits of 2− d Yang-Mills

R. Fo Forman
Commun. Math. Phys. 151, • 1993

The combinatorics of the Verlinde formula, Symposium on vector bundles in algebraic geometry

A. Sz Szenes

Similar Papers

Loading similar papers…