| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910130687203321 |
|
|
Titolo |
2011 Proceedings of the 22nd EAEEIE Annual Conference |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
[Place of publication not identified], : IEEE, 2012 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (various pagings) : illustrations |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Internet in education |
Education - Data processing |
Information technology - Information technology - Study and teaching |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
|
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910144598203321 |
|
|
Autore |
Kerler Thomas |
|
|
Titolo |
Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners / / by Thomas Kerler, Volodymyr V. Lyubashenko |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2001.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (VI, 383 p.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 1617-9692 ; ; 1765 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Commutative 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 |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
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 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). |
|
|
|
|
|
| |