Higher Monodromy
| dc.creator | Polesello, Pietro | |
| dc.creator | Waschkies, Ingo | |
| dc.date | 2004-07-29 | |
| dc.date.accessioned | 2026-07-07T06:25:54Z | |
| dc.date.available | 2026-07-07T06:25:54Z | |
| dc.description | For a given category C and a topological space X, the constant stack on X with stalk C is the stack of locally constant sheaves with values in C. Its global objects are classified by their monodromy, a functor from the Poincare groupoid of X to C. In this paper we recall these notions from the point of view of higher category theory and then define the 2-monodromy of a locally constant stack with values in a 2-category as a 2-functor from the homotopy 2-groupoid into the 2-category. We show that 2-monodromy classifies locally constant stacks on a reasonably well-behaved space X. As an application, we show how to recover from this classification the cohomological version of a classical theorem of Hopf, and we extend it to the non abelian case. | |
| dc.description | 43 pages. This is a revised version of our preprint RIMS 1432 (11-2003) | |
| dc.identifier | https://arxiv.org/abs/math/0407507 | |
| dc.identifier | http://arxiv.org/abs/math/0407507 | |
| dc.identifier | Homology Homotopy Appl. 7 (2005), no. 1, 109--150. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96958 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Category Theory | |
| dc.subject | 14A20, 55P99, 18G50 | |
| dc.title | Higher Monodromy | |
| dc.type | text |