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Topological Field Theories and Harrison Homology

By Benjamin Cooper

Abstract

The tools and arguments developed by Kevin Costello are adapted to families of "Outer Spaces" or spaces of graphs. This allows us to prove a version of Deligne's conjecture: the Harrison homology associated to a homotopy commutative algebra is naturally a module over a particular cobordism category of 3-manifolds

Topics: Mathematics - Algebraic Topology
Year: 2012
DOI identifier: 10.1007/s11005-012-0597-y
OAI identifier: oai:arXiv.org:1102.3451
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