2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/287We 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 correctedAlgebraic GeometryHigh Energy Physics - TheoryDifferential GeometryQuantum Algebratext