Hilbert schemes and W algebras
| dc.creator | Li, Wei-Ping | |
| dc.creator | Qin, Zhenbo | |
| dc.creator | Wang, Weiqiang | |
| dc.date | 2001-11-05 | |
| dc.date | 2002-02-26 | |
| dc.date.accessioned | 2026-07-07T04:44:23Z | |
| dc.date.available | 2026-07-07T04:44:23Z | |
| dc.description | We construct geometrically the generating fields of a W algebra which acts irreducibly on the direct sum of the cohomology rings of the Hilbert schemes of n points on a projective surface for all n. We compute explicitly the commutators among a set of linear basis elements of the W algebra, and identify this algebra with a $W_{1+\infty}$-type algebra. A precise formula of certain Chern character operators, which is essential for the construction of the W algebra, is established in terms of the Heisenberg algebra generators. In addition, these Chern character operators are proved to be the zero-modes of vertex operators. | |
| dc.description | 26 pages, latex, mild changes, to appear in IMRN | |
| dc.identifier | https://arxiv.org/abs/math/0111047 | |
| dc.identifier | http://arxiv.org/abs/math/0111047 | |
| dc.identifier | Intern. Math. Res. Notices 27 (2002) 1427--1456. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62565 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Hilbert schemes and W algebras | |
| dc.type | text |