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Published on Jul 26, 2012
David Ayala, Harvard University) Abstract: Chiral/factorization homology gives a procedure for constructing a topological field theory from the data of an E_n algebra. I'll explain a mulit-object version of this construction which produces a topological field theory from the data of an n-category with adjoints.
This construction is a consequence of a more primitive result which asserts an equivalence between n-categories with adjoints and ``transversality sheaves'' on framed n manifolds - of which there is an abundance of examples.