Abstract

and Summary of Results.- The Double Category of Framed, Relative 3-Cobordisms.- Tangle-Categories and Presentation of Cobordisms.- Isomorphism between Tangle and Cobordism Double Categories.- Monoidal categories and monoidal 2-categories.- Coends and construction of Hopf algebras.- Construction of TQFT-Double Functors.- Generalization of a modular functor.- From Quantum Field Theory to Axiomatics.- Double Categories and Double Functors.- Thick tangles.

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