The Character of the Infinite Wedge Representation

Spencer Bloch, Andrei Okounkov

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)


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
Issue number1
Publication statusPublished - 15 Jan 2000
Externally publishedYes


Dive into the research topics of 'The Character of the Infinite Wedge Representation'. Together they form a unique fingerprint.

Cite this