Batalin-Vilkovisky coalgebra of string topology

Details Batalin-Vilkovisky coalgebra of string topology Batalin-Vilkovisky coalgebra of string topology

2008-04-30

arxiv.org/abs/0804.4748v3

Mathematics

Quantum Algebra

Scientific paper

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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