Quotient of a Loop Group and Witten Genus

Abstract

Let us consider the free loop space L(M) of a compact manifold: it is endowed with a natural circle action. The fixed point set of this circle action is the manifold himself. In finite dimension, when there is a circle action over a manifold, there are two types of relations between the fixed point set and the total space. It is the purpose of the Berline… (More)

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Cite this paper

@inproceedings{Landre2007QuotientOA, title={Quotient of a Loop Group and Witten Genus}, author={R{\'e}mi L{\'e}andre}, year={2007} }