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arXiv · 0711.4859

Higher string topology operations

Veronique Godin
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Abstract

Chas and Sullivan have defined an intersection-type product on the homology of the free loop space LM of an oriented manifold M. In this paper we show how to extend this construction to a topological conformal field theory of degree d. In particular, we get operations on the homology of LM which are parameterized by the homology of the moduli space of open-closed Riemann surfaces.

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Veronique Godin. 2008-02-19. Higher string topology operations. https://arxiv.org/abs/0711.4859

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