03122nam 22007695 450 991014459820332120250724093327.03-540-44625-710.1007/b82618(CKB)1000000000233213(SSID)ssj0000325259(PQKBManifestationID)12116390(PQKBTitleCode)TC0000325259(PQKBWorkID)10321702(PQKB)11155557(DE-He213)978-3-540-44625-5(MiAaPQ)EBC3071724(PPN)155196944(EXLCZ)99100000000023321320121227d2001 u| 0engurnn#008mamaatxtccrNon-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners /by Thomas Kerler, Volodymyr V. Lyubashenko1st ed. 2001.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2001.1 online resource (VI, 383 p.)Lecture Notes in Mathematics,1617-9692 ;1765Bibliographic Level Mode of Issuance: Monograph3-540-42416-4 Includes bibliographical references and index.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.Lecture Notes in Mathematics,1617-9692 ;1765Commutative algebraCommutative ringsAlgebra, HomologicalManifolds (Mathematics)Mathematical physicsCommutative Rings and AlgebrasCategory Theory, Homological AlgebraManifolds and Cell ComplexesTheoretical, Mathematical and Computational PhysicsCommutative algebra.Commutative rings.Algebra, Homological.Manifolds (Mathematics)Mathematical physics.Commutative Rings and Algebras.Category Theory, Homological Algebra.Manifolds and Cell Complexes.Theoretical, Mathematical and Computational Physics.510 s530.14/381T05msc57N10msc18D05mscKerler Thomasauthttp://id.loc.gov/vocabulary/relators/aut53255Lyubashenko Volodymyr Vauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910144598203321Non-semisimple topological quantum field theories for 3-manifolds with corners262224UNINA