Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
alg-geom
2008-02-03 v2 dg-ga
High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
Abstract
We prove formulas (found by Witten in 1992 using physical methods) for intersection pairings in the cohomology of the moduli space M(n,d) of stable holomorphic vector bundles of rank n and degree d (assumed coprime) on a Riemann surface of genus g greater than or equal to 2. We also use these formulas for intersection numbers to obtain a proof of the Verlinde formula for the dimension of the space of holomorphic sections of a line bundle over M(n,d).
Keywords
Cite
@article{arxiv.alg-geom/9608029,
title = {Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface},
author = {Lisa C. Jeffrey and Frances C. Kirwan},
journal= {arXiv preprint arXiv:alg-geom/9608029},
year = {2008}
}
Comments
77 pages, LaTeX version 2.09. This is the text of the revised version which will appear in Annals of Mathematics. An error in Section 2 of the previous version has been corrected