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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64052In 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, amstexAlgebraic TopologyThe Chiral de Rham Complex and Positivity of the Equivariant Signature of the Loop Spacetext