TQFT with corners and tilting functors in the Kac-Moody case
| dc.creator | Stroppel, Catharina | |
| dc.date | 2006-05-03 | |
| dc.date.accessioned | 2026-07-07T07:13:53Z | |
| dc.date.available | 2026-07-07T07:13:53Z | |
| dc.description | We study projective functors (i.e. direct summands of compositions of translations through walls) for parabolic versions of $\cO$ as well as for integral regular blocks outside the critical hyperplanes in the symmetrizable Kac-Moody case. It turns out that in both situations the functors are completely determined by their restriction to the additive category generated by (the limit of) a `full projective tilting' object. We describe how projective functors in the parabolic setup give rise to an invariant of tangle cobordisms and formulate a conjectural direct connection to Khovanov homology. Our main result, however, is the classification theorem for indecomposable projective functors in the Kac-Moody case verifying a conjecture of F. Malikov and I. Frenkel. | |
| dc.identifier | https://arxiv.org/abs/math/0605103 | |
| dc.identifier | http://arxiv.org/abs/math/0605103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112649 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B67, 57M27 | |
| dc.title | TQFT with corners and tilting functors in the Kac-Moody case | |
| dc.type | text |