Batalin-Vilkovisky coalgebra of string topology

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dc.creatorChen, Xiaojun
dc.creatorGan, Wee Liang
dc.date2008-04-30
dc.date2009-03-14
dc.date.accessioned2026-07-07T12:52:02Z
dc.date.available2026-07-07T12:52:02Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0804.4748
dc.identifierhttp://arxiv.org/abs/0804.4748
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223173
dc.subjectQuantum Algebra
dc.subjectAlgebraic Topology
dc.titleBatalin-Vilkovisky coalgebra of string topology
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