Closed String TCFT for Hermitian Calabi-Yau Elliptic Spaces

Details Closed String TCFT for Hermitian Calabi-Yau Elliptic Spaces Closed String TCFT for Hermitian Calabi-Yau Elliptic Spaces

2008-07-18

arxiv.org/abs/0807.3052v1

Mathematics

Quantum Algebra

35 pages

Scientific paper

We describe an explicit action of the prop of the chains on the moduli space of Riemann surfaces on the Hochschild complex of a Calabi-Yau elliptic space. One example of such an elliptic space extends the known string topology operations, for all compact simply-connected manifolds, to a collection indexed by the de Rham currents on the moduli space. Another example pertains to the B-model at all genera.

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