## Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners (Lecture Notes in Mathematics)

### Thomas Kerler; Volodymyr V. Lyubashenko

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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 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).

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Book Description Springer. Paperback. Book Condition: New. Paperback. 383 pages. Dimensions: 9.2in. x 6.1in. x 0.9in.d 1-dimensional manifold, whose is a union of d-dimensional boundary disjoint v manifolds and d, a linear : - The manifold -Zod V(Mdl) 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 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 Atiyahs 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. Cobd1 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 Cobd1 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 gMdl Zd is the d- mensional manifold, Mdl, 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). This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9783540424161

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