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arXiv · alg-geom/9712009

The Character of the Infinite Wedge Representation

Spencer Bloch·Andrei Okounkov
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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.

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Spencer Bloch, Andrei Okounkov. 1997-12-16. The Character of the Infinite Wedge Representation. https://arxiv.org/abs/alg-geom/9712009

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