“Geometric Invariant Theory” by Mumford/Fogarty (the first edition was published in 1965, a
second, enlarged edition appeared in 1982) is the standard reference on applications of …

Abstract Two dimensional quantum Yang-Mills theory is reexamined using a non-abelian
version of the Duistermaat-Heckman integration formula to carry out the functional integral …

En physique mathématique, une théorie conforme rationnelle des champs associe à chaque
surface de Riemann compacte avec points marqués, étiquetés par les éléments d'un …

Let Ng, n, d denote the moduli space of semistable n-dimensional vector bundles over a
fixed Riemann surface of genus 9 and having as determinant bundle a fixed line bundle of …

Let C be a Riemann surface, L a line bundle over C, and na natural number. Then there is a
moduli space of stable n-dimensional vector bundles E over C with determinant bundle Λ n …

In earlier papers we constructed a Hamiltonian torus action on an open dense set in the
moduli space of flat SU (2) connections on a compact Riemann surface, where the …

The purpose of this paper is to give a proof of the Verlinde formulas by applying the
Riemann-Roch-Kawasaki theorem to the moduli space of flat G-bundles on a Riemann …

We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli
spaces and stacks for any simple and simply-connected group. This generalizes the …

We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface
with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli …

We initiate a study of the geometric quantization of Chern-Simons gauge theory on Riemann
surfaces with punctures. We construct a moduli space of flat connections using weighted …