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arXiv · 0804.4748

Batalin-Vilkovisky coalgebra of string topology

Xiaojun Chen·Wee Liang Gan
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Abstract

We show that the reduced Hochschild homology of a DG open Frobenius algebra has the natural structure of a Batalin-Vilkovisky coalgebra, and the reduced cyclic homology has the natural structure of a gravity coalgebra. This gives an algebraic model for a Batalin-Vilkovisky coalgebra structure on the reduced homology of the free loop space of a simply connected closed oriented manifold, and a gravity coalgebra structure on the reduced equivariant homology.

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BibTeXRIS

Xiaojun Chen, Wee Liang Gan. 2009-03-14. Batalin-Vilkovisky coalgebra of string topology. https://arxiv.org/abs/0804.4748

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