Equivariant cohomology, symmetric functions and the Hilbert schemes of points on the total space of the invertible sheaf O(-2) over the projective line
| dc.creator | Nieper-Wisskirchen, Marc A. | |
| dc.date | 2006-10-27 | |
| dc.date.accessioned | 2026-07-07T07:29:31Z | |
| dc.date.available | 2026-07-07T07:29:31Z | |
| dc.description | Let X be the quasi-projective symplectic surface that is given by the total space of the invertible sheaf O(-2) over the projective line. Let Hilb X be the family of Hilbert schemes of points on X. We give and prove a closed formula expressing any multiplicative characteristic class evaluated on the Hilb X in terms of the standard Fock space description of the cohomology of the Hilb X. As a side result, we also deduce a formula for the Chern character of the tangent bundles of the Hilb X. The results found here are another step towards a complete description of the tangent bundle of the Hilbert scheme of a general quasi-projective surface as the formulas given here yield certain coefficients in that description. Finally, we also give a closed formula expressing any multiplicative characteristic class evaluated on some tautological bundles on the Hilb X. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610834 | |
| dc.identifier | http://arxiv.org/abs/math/0610834 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118140 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 14C05 | |
| dc.title | Equivariant cohomology, symmetric functions and the Hilbert schemes of points on the total space of the invertible sheaf O(-2) over the projective line | |
| dc.type | text |