Virtual fundamental classes, global normal cones and Fulton's canonical classes
| dc.creator | Siebert, Bernd | |
| dc.date | 2005-09-04 | |
| dc.date.accessioned | 2026-07-07T05:22:56Z | |
| dc.date.available | 2026-07-07T05:22:56Z | |
| dc.description | This paper, first written in 1997, aims at a simplified and more elementary construction of algebraic-geometric virtual fundamental classes as defined by Li/Tian and Behrend/Fantechi. We replace the use of Artin stacks in the latter approach by a yoga of cone bundles of possible independent interest. We also observe a formula for virtual fundamental classes involving only the total Chern class of the index bundle and Fulton's canonical class of the moduli space. | |
| dc.description | This version differs from the published text in correcting statements on mere dependence of cohomology rather than homotopy. These were based on a flawed splitting statement, as pointed out by Charles Cadman. Moreover, the proof of Proposition 2.11 required more attention. 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509076 | |
| dc.identifier | http://arxiv.org/abs/math/0509076 | |
| dc.identifier | Frobenius manifolds, pp. 341--358, Aspects Math., E36, Vieweg 2004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76254 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N35; (14C15) | |
| dc.title | Virtual fundamental classes, global normal cones and Fulton's canonical classes | |
| dc.type | text |