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

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

2005-07-05

arxiv.org/abs/math/0507104v1

Mathematics

Algebraic Geometry

45 pages, 4 figures, 1 table

Scientific paper

As shown in a previous paper, certain naturally arising cones of holomorphic vector bundle sections over the main component $\ov\M_{1,k}^0(\P,d)$ of the moduli space of stable genus-one holomorphic maps into $\P$ 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.

Affiliated with

Also associated with

No associations

Rating

On the Genus-One Gromov-Witten Invariants of Complete Intersections does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Genus-One Gromov-Witten Invariants of Complete Intersections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Genus-One Gromov-Witten Invariants of Complete Intersections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59482