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[null,"1.","Record Nr.",null,"UNINA9910144598203321"]
[null,null,"Autore",null,"Kerler Thomas"]
[null,null,"Titolo",null,"Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners / / by Thomas Kerler, Volodymyr V. Lyubashenko"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001"]
[null,null,"ISBN",null,"3-540-44625-7"]
[null,null,"Edizione",null,"[1st ed. 2001.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VI, 383 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 1617-9692 ; ; 1765"]
[null,null,"Classificazione",null,"81T05"]
[{"$nulls":4},"57N10"]
[{"$nulls":4},"18D05"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"530.14/3"]
[null,null,"Soggetti",null,"Commutative algebra"]
[{"$nulls":4},"Commutative rings"]
[{"$nulls":4},"Algebra, Homological"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Mathematical physics"]
[{"$nulls":4},"Commutative Rings and Algebras"]
[{"$nulls":4},"Category Theory, Homological Algebra"]
[{"$nulls":4},"Manifolds and Cell Complexes"]
[{"$nulls":4},"Theoretical, Mathematical and Computational Physics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"and Summary of Results -- The Double Category of Framed, Relative 3-Cobordisms -- Tangle-Categories and Presentation of Cobordisms -- Isomorphism between Tangle and Cobordism Double Categories -- Monoidal categories and monoidal 2-categories -- Coends and construction of Hopf algebras -- Construction of TQFT-Double Functors -- Generalization of a modular functor -- From Quantum Field Theory to Axiomatics -- Double Categories and Double Functors -- Thick tangles."]
[null,null,null,"Sommario/riassunto","d + 1-dimensional manifold, whose is a union of d-dimensional boundary disjoint v manifolds and d, a linear : -+ The manifold -Zod V(Md+l) V(Zod) V(Zld). ma- is with the orientation. The axiom in that z0g, Zod opposite gluing [Ati88] requires if we two such d + 1-manifolds a common d-subma- glue together along (closed) fold of in "]
[{"$nulls":4},"their the linear for the has to be the boundaries, composite compo- map tion of the linear of the individual d + 1-manifolds. maps the of and as in we can state categories functors, [Mac88], Using language axioms as follows: concisely Atiyah's very Definition 0.1.1 A in dimension d is a ([Ati88]). topological quantumfield theory between monoidal functor symmetric categories [Mac881 asfollows: V : --+ k-vect. Cobd+1 finite Here k-vect denotes the whose are dimensional v- category, objects for field tor over a field k, which we assume to be instance, a perfect, spaces The of of characteristic 0. set between two vector is morphisms, simply spaces the set of linear with the usual The has as composition. category Cobd+1 maps manifolds. such closed oriented d-dimensional A between two objects morphism. Zd d oriented d 1-- d-manifolds and is a + 1-cobordism, an + Zod meaning gMd+l = Zd is the d- mensional manifold, Md+l, whose Lj boundary _ZOd of the d-manifolds. consider union two we as joint (Strictly speaking morphisms cobordisms modulo relative Given another or homeomorphisms diffeomorphisms)."]