TCFT Elliptic Objects

Details TCFT Elliptic Objects TCFT Elliptic Objects

2012-02-19

arxiv.org/abs/1202.4118v2

Mathematics

Algebraic Topology

Fixed some gaps in the main argument by adding normalization conditions. A number of typoes fixed

Scientific paper

This paper begins to develop a topological conformal field theory analogue of the Segal-Stolz-Teichner project for geometric construction of elliptic cohomology. In our context, we replace the theory Von-Neuman algebra bimodules and Connes fusion by differential graded category bimodules, and their natural categorical tensor product. At the same time, we extend the notion of bicategory in a geometrically natural fashion, and using this we show that some functors on the homotopy category of topological spaces coming from topological conformal field theory are representable.

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