The Character of the Infinite Wedge Representation
arXiv:alg-geom/9712009
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.
Latex, 57 pages; typos in bibliography corrected