On the Genus-One Gromov-Witten Invariants of Complete Intersections

Simple item page
dc.creatorLi, Jun
dc.creatorZinger, Aleksey
dc.date2005-07-05
dc.date.accessioned2026-07-07T05:21:25Z
dc.date.available2026-07-07T05:21:25Z
dc.descriptionAs shown in a previous paper, certain naturally arising cones of holomorphic vector bundle sections over the main component $\ov\M_{1,k}^0(¶,d)$ of the moduli space of stable genus-one holomorphic maps into $¶$ have a well-defined euler class. In this paper, we extend this result to moduli spaces of perturbed, in a restricted way, $J$-holomorphic maps. We show that euler classes of such cones relate the reduced genus-one Gromov-Witten invariants of complete intersections to the corresponding GW-invariants of the ambient projective space. As a consequence, the standard genus-one GW-invariants of complete intersections can be expressed in terms of the genus-zero and genus-one GW-invariants of projective spaces. We state such a relationship explicitly for complete-intersection threefolds. A relationship for higher-genus invariants is conjectured as well.
dc.description45 pages, 4 figures, 1 table
dc.identifierhttps://arxiv.org/abs/math/0507104
dc.identifierhttp://arxiv.org/abs/math/0507104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75686
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.subject14N35, 53D45
dc.titleOn the Genus-One Gromov-Witten Invariants of Complete Intersections
dc.typetext

Files

Collections

arXiv