On the Structure of Certain Natural Cones over Moduli Spaces of Genus-One Holomorphic Maps
| dc.creator | Zinger, Aleksey | |
| dc.date | 2004-06-06 | |
| dc.date | 2005-07-05 | |
| dc.date.accessioned | 2026-07-07T05:08:55Z | |
| dc.date.available | 2026-07-07T05:08:55Z | |
| dc.description | We show that certain naturally arising cones over the main component of a moduli space of $J_0$-holomorphic maps into $P^n$ have a well-defined euler class. We also prove that this is the case if the standard complex structure $J_0$ on $P^n$ is replaced by a nearby almost complex structure $J$. The genus-zero analogue of the cone considered in this paper is always a vector bundle. The genus-zero Gromov-Witten invariant of a projective hypersurface is the euler class of such a vector bundle. As shown in a separate paper, this is also the case for the "genus-one part" of the genus-one GW-invariant. The remaining part is a multiple of the genus-zero GW-invariant. | |
| dc.description | an error corrected; 45 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/math/0406104 | |
| dc.identifier | http://arxiv.org/abs/math/0406104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71451 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 53D99, 14N35 | |
| dc.title | On the Structure of Certain Natural Cones over Moduli Spaces of Genus-One Holomorphic Maps | |
| dc.type | text |