Closed String TCFT for Hermitian Calabi-Yau Elliptic Spaces
Quantum Algebra
2008-07-22 v1
Abstract
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.
Cite
@article{arxiv.0807.3052,
title = {Closed String TCFT for Hermitian Calabi-Yau Elliptic Spaces},
author = {Kevin J. Costello and Thomas Tradler and Mahmoud Zeinalian},
journal= {arXiv preprint arXiv:0807.3052},
year = {2008}
}
Comments
35 pages