Screenings and a universal Lie-de Rham cocycle
| dc.creator | Ginzburg, Victor | |
| dc.creator | Schechtman, Vadim | |
| dc.date | 1997-04-19 | |
| dc.date | 1997-09-15 | |
| dc.date.accessioned | 2026-07-07T09:08:46Z | |
| dc.date.available | 2026-07-07T09:08:46Z | |
| dc.description | Feigin and Fuchs have given a well-known construction of intertwining operators between "Fock-type" modules over the Virasoro algebra. The intertwiners are obtained via contour integration of certain "screening operators" over top homology classes of a configuration space. The main observation of the present paper is that the screening operators contain more information. Specifically, at the chain level, the screening operators provide a certain canonical cocycle of the Virasoro (resp. affine Kac-Moody) algebra with coefficients in the de Rham complex of an operator-valued local system on the configuration space. This way we obtain canonical morphisms from higher homology groups of the above local systems to appropriate higher Ext-groups between the Fock space representations. Our construction is motivated by, and in a special case reduces to the construction of Bowknegt et al, see [BMP1], [BMP2]. | |
| dc.description | Amstex, 38pp. Minor improvements made and some references added | |
| dc.identifier | https://arxiv.org/abs/q-alg/9704014 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9704014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150841 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Screenings and a universal Lie-de Rham cocycle | |
| dc.type | text |