1995/06/09 by Michael Finkelberg, M. Finkelberg, Finkelberg, M. +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.q-alg/9506011
29 pages, amslatex. A minor correction is made
openalex publication_date 1995/06/09 · arxiv created 1995/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article is a sequel to hep-th/9411050, q-alg/9412017, q-alg/9503013. Given a collection of m finite factorizable sheaves \\CXk\, we construct here some perverse sheaves over configuration spaces of points on a projective line \BP1 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. ~\citems) as natural subquotients of some semisimple local systems of geometric origin. In particular, these local systems are semisimple themselves.