Higher string topology operations

Details Higher string topology operations Higher string topology operations

2007-11-30

arxiv.org/abs/0711.4859v2

Mathematics

Algebraic Topology

78 pages, 12 figures. Typos corrected, some proofs clarified

Scientific paper

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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