Homotopy classification of gerbes
| dc.creator | Jardine, J. F. | |
| dc.date | 2006-05-08 | |
| dc.date.accessioned | 2026-07-07T07:14:01Z | |
| dc.date.available | 2026-07-07T07:14:01Z | |
| dc.description | Gerbes are locally connected presheaves of groupoids. They are classified up to local weak equivalence by path components in a 2-cocycle category taking values in all sheaves of groups, their isomorphisms and homotopies. If F is a full presheaf of sheaves of groups, isomorphisms and homotopies, then [*,BF] is isomorphic to equivalence classes of gerbes locally equivalent to groups appearing in F. Giraud's non-abelian cohomology object of equivalence classes of gerbes with band L is isomorphic to morphisms in the homotopy category from the point * to the homotopy fibre over L for a map defined on BF and taking values in the classifying space for the stack completion of the fundamental groupoid of F. | |
| dc.identifier | https://arxiv.org/abs/math/0605200 | |
| dc.identifier | http://arxiv.org/abs/math/0605200 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112703 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Algebraic Geometry | |
| dc.title | Homotopy classification of gerbes | |
| dc.type | text |