The Character of the Infinite Wedge Representation

Spencer Bloch, Andrei Okounkov

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1-60
Number of pages60
JournalAdvances in Mathematics
Volume149
Issue number1
DOIs
Publication statusPublished - 15 Jan 2000
Externally publishedYes

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