Erschienen: 11.09.2001 Abbildung von Kerler / Lyubashenko | Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners | 2001

Kerler / Lyubashenko

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

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2001. Buch. vI, 383 S. Bibliographien. Softcover

Springer. ISBN 978-3-540-42416-1

Format (B x L): 15,5 x 23,5 cm

Gewicht: 591 g

In englischer Sprache

Das Werk ist Teil der Reihe: Lecture Notes in Mathematics; 1765

Produktbeschreibung

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).

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

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