Topological Field Theories and Harrison Homology

Details Topological Field Theories and Harrison Homology Topological Field Theories and Harrison Homology

2011-02-16

arxiv.org/abs/1102.3451v1

Mathematics

Algebraic Topology

37 pages

Scientific paper

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.

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