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

Kerler, Thomas.

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners [electronic resource] / by Thomas Kerler, Volodymyr V. Lyubashenko. - VI, 383 p. online resource. - Lecture Notes in Mathematics, 1765 0075-8434 ; . - Lecture Notes in Mathematics, 1765 .

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.

9783540446255

10.1007/b82618 doi


Algebra.
Cell aggregation--Mathematics.
Commutative Rings and Algebras.
Category Theory, Homological Algebra.
Manifolds and Cell Complexes (incl. Diff.Topology).
Theoretical, Mathematical and Computational Physics.

QA251.3

512.44
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