Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

• Main Authors: Kerler, Thomas (Author, http://id.loc.gov/vocabulary/relators/aut), Lyubashenko, Volodymyr V. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Edition: 1st ed. 2001.
• Series: Lecture Notes in Mathematics, 1765
• Subjects: Commutative algebra.; Commutative rings.; Category theory (Mathematics).; Homological algebra.; Manifolds (Mathematics).; Complex manifolds.; Mathematical physics.; Commutative Rings and Algebras.; Category Theory, Homological Algebra.; Manifolds and Cell Complexes (incl. Diff.Topology).; Theoretical, Mathematical and Computational Physics.

Table of Contents:

• 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.