The Character of the Infinite Wedge Representation
alg-geom
2007-05-23 v2 High Energy Physics - Theory
Algebraic Geometry
Differential Geometry
q-alg
Abstract
We study the character of the infinite wedge projective representation of the algebra of differential operators on the circle. We prove quasi-modularity of this character and also compute certain generating functions for traces of differential operators which we call correlation functions. These correlation functions are sums of determinants built from genus 1 theta functions and their derivatives.
Keywords
Cite
@article{arxiv.alg-geom/9712009,
title = {The Character of the Infinite Wedge Representation},
author = {Spencer Bloch and Andrei Okounkov},
journal= {arXiv preprint arXiv:alg-geom/9712009},
year = {2007}
}
Comments
Latex, 57 pages; typos in bibliography corrected