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

Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
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Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
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  • Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners
  • Written by author Thomas Kerler, Volodymyr V. Lyubashenko
  • Published by Springer-Verlag New York, LLC, 10/25/2001
  • This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories
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Authors

Introduction and summary of results.- The double category of framed, relative 3-cobordisms.- Tangle-categories and presentation of cobordisms.- Isomorphism between tangle and cobordism categories.- Monoidal categories and monoidal 2-categories.- Coends and construction of Hopf algebras.- Construction of TQFT-Double Functors.- Generalization of modular functor.- A: From quantum field theory of axiomatics.- B: Double categories and double functors.- C: Thick tangles.


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Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

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Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

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

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Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners, This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories, Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners

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

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