Hilbert schemes and W algebras
代数几何
2007-05-23 v2 高能物理 - 理论
量子代数
摘要
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 -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.
引用
@article{arxiv.math/0111047,
title = {Hilbert schemes and W algebras},
author = {Wei-Ping Li and Zhenbo Qin and Weiqiang Wang},
journal= {arXiv preprint arXiv:math/0111047},
year = {2007}
}
备注
26 pages, latex, mild changes, to appear in IMRN