Mukai duality for gerbes with connection
| dc.creator | Block, Jonathan | |
| dc.creator | Daenzer, Calder | |
| dc.date | 2008-03-11 | |
| dc.date | 2009-01-10 | |
| dc.date.accessioned | 2026-07-07T12:27:44Z | |
| dc.date.available | 2026-07-07T12:27:44Z | |
| dc.description | We study gerbes with connection over an etale stack via noncommutative algebras of differential forms on a groupoid presenting the stack. We then describe a dg-category of modules over any such algebra, which we claim represents a dg-enhancement of the derived category of coherent analytic sheaves on the gerbe in question. This category can be used to phrase and prove Fourier-Mukai type dualities between gerbes and other noncommutative spaces. As an application of the theory, we show that a gerbe with flat connection on a torus is dual (in a sense analogous to Fourier-Mukai duality or T-duality) to a noncommutative holomorphic dual torus. | |
| dc.description | Final version. To appear in Crelle's journal | |
| dc.identifier | https://arxiv.org/abs/0803.1529 | |
| dc.identifier | http://arxiv.org/abs/0803.1529 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215309 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.title | Mukai duality for gerbes with connection | |
| dc.type | text |