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arxiv: 1102.3451 · v3 · pith:VJGQAZY2new · submitted 2011-02-16 · 🧮 math.AT

Topological Field Theories and Harrison Homology

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keywords harrisonhomologyspacesadaptedalgebraallowsargumentsassociated
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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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