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Title:
(n+ε)-Dimensional TQFTs and a Higher Dimensional Deligne Conjecture
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Abstract:
The classical Deligne conjecture (now a theorem with several published proofs) says that chains on the little disks operad act on Hochschild cohomology. I’ll describe a higher dimensional generalization of this result. In fact, even in the dimension of the original Deligne conjecture the generalization has something new to say: Hochschild chains and Hochschild cochains are the first two members of an infinite family of chain complexes associated to an arbitrary associative algebra, and there is a colored, higher genus operad which acts on these chain complexes.
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