Journal ArticleDOI
Braided) tensor structures on homotopy groupoids and nerves of (Braided) categorical groups 1
P. Carrasco,A.M. Cegarra +1 more
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This article is published in Communications in Algebra.The article was published on 1996-01-01. It has received 45 citations till now. The article focuses on the topics: Tensor (intrinsic definition) & Homotopy.read more
Citations
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TFT construction of RCFT correlators: III: simple currents
TL;DR: In this paper, simple currents are used to construct symmetric special Frobenius algebras in modular tensor categories, leading to modular invariant torus partition functions that have been studied by Kreuzer and Schellekens.
Journal ArticleDOI
A Picard–Brauer exact sequence of categorical groups
TL;DR: In this paper, it was shown that, given a suitable monoidal functor between two symmetric monoidal categories with stable coequalizers, it is possible to build up a five-term Picard-Brauer exact sequence of categorical groups.
Journal ArticleDOI
On the Geometry of 2-Categories and their Classifying Spaces
M. Bullejos,Antonio M. Cegarra +1 more
TL;DR: In this paper, the realizations of geometric nerves are classifying spaces for 2-categories, and this result is particularized to strict monoidal categories and it is also used to obtain a generalization of Quillen's Theorem A.
Journal Article
Factorization systems for symmetric cat-groups
Stefano Kasangian,Enrico Vitale +1 more
TL;DR: In this paper, a morphism of symmetric cat-groups can be factorized as an essentially surjective functor followed by a full and faithful one, as well as a full-and essentially symmetric functor following by a faithful one.
Applications of peiffer pairings in the moore complex of a simplicial group
TL;DR: In this article, a decomposition of the group, dn NG n, of boundaries of a simplicial group G as a product of commutator subgroups is given for n = 3 and 4.
References
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Book
Simplicial objects in algebraic topology
TL;DR: Simplicial Objects in Algebraic Topology as discussed by the authors has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces.
Journal ArticleDOI
Classifying spaces and spectral sequences
TL;DR: In this paper, the authors implique l'accord avec les conditions generales d'utilisation (http://www.numdam.org/legal.php).