K-theory of the moduli of bundles over a Riemann surface and deformations of the Verlinde algebra
| dc.creator | Teleman, Constantin | |
| dc.date | 2003-06-24 | |
| dc.date.accessioned | 2026-07-07T04:59:09Z | |
| dc.date.available | 2026-07-07T04:59:09Z | |
| dc.description | I conjecture that index formulas for $K$-theory classes on the moduli of holomorphic $G$-bundles over a compact Riemann surface $Σ$ are controlled, in a precise way, by Frobenius algebra deformations of the Verlinde algebra of $G$. The Frobenius algebras in question are twisted $K$-theories of $G$, equivariant under the conjugation action, and the controlling device is the equivariant Gysin map along the "product of commutators" from $G^{2g}$ to $G$. The conjecture is compatible with naive virtual localization of holomorphic bundles, from $G$ to its maximal torus; this follows by localization in twisted $K$-theory. | |
| dc.description | To appear in the Segalfest proceedings | |
| dc.identifier | https://arxiv.org/abs/math/0306347 | |
| dc.identifier | http://arxiv.org/abs/math/0306347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67866 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | K-Theory and Homology | |
| dc.title | K-theory of the moduli of bundles over a Riemann surface and deformations of the Verlinde algebra | |
| dc.type | text |