Abstract Joao Faria-Martins

TITLE: Functorial invariants of link cobordisms in 4-space derived from homotopy 2-types.

 ABSTRACT:  Consider the category of link cobordisms, with objects the links in 3-space, and morphisms being the link cobordisms. Given a finite homotopy 2-type $G$, I will outline the definition of a functor from the category of link cobordisms to the category of vector spaces. The construction is  essentially derived from Quinn's finite total homotopy TQFT calculated on the complement of the cobordism

 

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