On the Motive of the Stack of Bundles
| dc.creator | Behrend, Kai | |
| dc.creator | Dhillon, Ajneet | |
| dc.date | 2005-12-29 | |
| dc.date.accessioned | 2026-07-07T06:55:53Z | |
| dc.date.available | 2026-07-07T06:55:53Z | |
| dc.description | Let $G$ be a split connected semisimple group over a field. We give a conjectural formula for the motive of the stack of $G$-bundles over a curve $C$, in terms of special values of the motivic zeta function of $C$. The formula is true if $C=\pp^1$ or $G=\sln$. If $k=\cc$, upon applying the Poincaré or Serre characteristic, the formula reduces to results of Teleman and Atiyah-Bott on the gauge group. If $k=\ffq$, upon applying the counting measure, it reduces to the fact that the Tamagawa number of $G$ over the function field of $C$ is $|π_1(G)|$. | |
| dc.identifier | https://arxiv.org/abs/math/0512640 | |
| dc.identifier | http://arxiv.org/abs/math/0512640 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106428 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | On the Motive of the Stack of Bundles | |
| dc.type | text |