paper

The Chiral de Rham Complex and Positivity of the Equivariant Signature of the Loop Space

arXiv:math/0205132

Abstract

In this note we show that the positivity property of the equivariant signature of the loop space, first observed in [MS1] in the case of the even-dimensional projective spaces, is valid for Picard number 2 toric varieties. A new formula for the equivariant signature of the loop space in the case of a toric spin variety is derived.

12 pages, amstex

The Chiral de Rham Complex and Positivity of the Equivariant Signature of the Loop Space · wovepaper