Delocalized equivariant coholomogy of symmetric products
| dc.creator | Zhou, Jian | |
| dc.date | 1999-10-05 | |
| dc.date.accessioned | 2026-07-07T05:31:03Z | |
| dc.date.available | 2026-07-07T05:31:03Z | |
| dc.description | For any closed complex manifold $X$, we calculate the Poincaré and Hodge polynomials of the delocalized equivariant cohomology $H^*(X^n, S_n)$ with a grading specified by physicists. As a consequence, we recover a special case of a formula for the elliptic genera of symmetric products in Dijkgraaf-Moore-Verlinde-Verlinde \cite{Dij-Moo-Ver-Ver}. For a projective surface X, our results matches with the corresponding formulas for the Hilbert scheme of X^[n]. We also give geometric construction of an action of a Heisenberg superalgebra on $\sum_{n \geq 0} H^{*,*}(X^n, S_n)$, imitating the constructions for equivariant K-theory by Segal \cite{Seg} and Wang \cite{Wan}. There is a corresponding version for $H^{-*, *}$. | |
| dc.identifier | https://arxiv.org/abs/math/9910028 | |
| dc.identifier | http://arxiv.org/abs/math/9910028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79206 | |
| dc.subject | Differential Geometry | |
| dc.title | Delocalized equivariant coholomogy of symmetric products | |
| dc.type | text |