Autor:	Crans, Alissa S., Wagemann, Friedrich
Rok vydání:	2013
Předmět:	Mathematics - Quantum Algebra 18B40 18D05 18D35 20L05 57M10 57M25 57Q45
Druh dokumentu:	Working Paper
Popis:	We generalize the notion of a crossed module of groups to that of a crossed module of racks. We investigate the relation to categorified racks, namely strict 2-racks, and trunk-like objects in the category of racks, generalizing the relation between crossed modules of groups and strict 2-groups. Then we explore topological applications. We show that by applying the rack-space functor, a crossed module of racks gives rise to a covering. Our main result shows how the fundamental racks associated to links upstairs and downstairs in a covering fit together to form a crossed module of racks. Comment: 25 pages, 1 figure, accepted in Homology, Homotopy and Applications
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1310.4705 Zobrazit plný text záznamu View this record from Arxiv