An Algebraic Chain Model of String Topology
نویسنده
چکیده
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.
منابع مشابه
A General Chain Model of the Free Loop Space and String Topology
A chain complex model for the free loop space of a connected compact oriented manifold is presented. Some algebraic operations on such a chain complex are studied, and on its homology, the Gerstenhaber and Batalin-Vilkovisky algebra structures are proven. The gravity algebra on the equivariant homology of the free loop space is also constructed. This gives an algebraic and chain level model of ...
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