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

V. Gorbounov·F. Malikov
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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.

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V. Gorbounov, F. Malikov. 2002-05-13. The Chiral de Rham Complex and Positivity of the Equivariant Signature of the Loop Space. https://arxiv.org/abs/math/0205132

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