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ISSN 1088-6850(e) ISSN 0002-9947(p)

An algebraic chain model of string topology

Author: Xiaojun Chen
Journal: Trans. Amer. Math. Soc. 364 (2012), 2749-2781
MSC (2010): Primary 55P50, 55P35
Posted: November 9, 2011
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Abstract: A chain complex model for the free loop space of a connected, closed and oriented manifold is presented, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra structures are defined and identified with the string topology structures. The gravity algebra on the equivariant homology of the free loop space is also modeled. The construction includes the non-simply connected case, and therefore gives an algebraic and chain level model of Chas-Sullivan's String Topology.

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