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

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

2002-05-13

arxiv.org/abs/math/0205132v1

Mathematics

Algebraic Topology

12 pages, amstex

Scientific paper

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.

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