Localization of $\frak{u}$-modules. IV. Localization on $\Bbb{P}^1$
| dc.creator | Finkelberg, M. | |
| dc.creator | Schechtman, V. | |
| dc.date | 1995-06-09 | |
| dc.date | 1995-12-09 | |
| dc.date.accessioned | 2026-07-07T09:04:52Z | |
| dc.date.available | 2026-07-07T09:04:52Z | |
| dc.description | This article is a sequel to hep-th/9411050, q-alg/9412017, q-alg/9503013. Given a collection of $m$ finite factorizable sheaves $\{\CX_k\}$, we construct here some perverse sheaves over configuration spaces of points on a projective line $\BP^1$ with $m$ additional marked points. We announce here (with sketch proof) the computation of the cohomology spaces of these sheaves. They turn out to coincide with certain "semiinfinite" $\Tor$ spaces of the corresponding $\fu$-modules. As a corollary, we get a description of local systems of conformal blocks in WZW models in genus $0$ (cf. ~\cite{ms}) as natural subquotients of some semisimple local systems of geometric origin. In particular, these local systems are semisimple themselves. | |
| dc.description | 29 pages, amslatex. A minor correction is made | |
| dc.identifier | https://arxiv.org/abs/q-alg/9506011 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9506011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149535 | |
| dc.subject | Quantum Algebra | |
| dc.title | Localization of $\frak{u}$-modules. IV. Localization on $\Bbb{P}^1$ | |
| dc.type | text |