Supergroupoids, double structures, and equivariant cohomology
| dc.creator | Mehta, Rajan Amit | |
| dc.date | 2006-05-14 | |
| dc.date.accessioned | 2026-07-07T07:14:12Z | |
| dc.date.available | 2026-07-07T07:14:12Z | |
| dc.description | Q-groupoids and Q-algebroids are, respectively, supergroupoids and superalgebroids that are equipped with compatible homological vector fields. These new objects are closely related to the double structures of Mackenzie; in particular, we show that Q-groupoids are intermediary objects between Mackenzie's LA-groupoids and double complexes, which include as a special case the simplicial model of equivariant cohomology. There is also a double complex associated to a Q-algebroid, which in the above special case is the BRST model of equivariant cohomology. Other special cases include models for the Drinfel'd double of a Lie bialgebra and Ginzburg's equivariant Poisson cohomology. Finally, a supergroupoid version of the van Est map is used to give a homomorphism from the double complex of a Q-groupoid to that of a Q-algebroid. | |
| dc.description | UC Berkeley Ph.D. thesis; 111 pages | |
| dc.identifier | https://arxiv.org/abs/math/0605356 | |
| dc.identifier | http://arxiv.org/abs/math/0605356 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112776 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 22A22 (Primary), 58A50, 55N91, 53D17 (Secondary) | |
| dc.title | Supergroupoids, double structures, and equivariant cohomology | |
| dc.type | text |