The local Gromov-Witten invariants of configurations of rational curves

Details The local Gromov-Witten invariants of configurations of rational curves The local Gromov-Witten invariants of configurations of rational curves

2005-06-23

arxiv.org/abs/math/0506488v4

Geom. Topol. 10 (2006) 115-168

Mathematics

Algebraic Geometry

This is the version published by Geometry & Topology on 7 March 2006

Scientific paper

10.2140/gt.2006.10.115

We compute the local Gromov-Witten invariants of certain configurations of rational curves in a Calabi-Yau threefold. These configurations are connected subcurves of the `minimal trivalent configuration', which is a particular tree of P^1's with specified formal neighborhood. We show that these local invariants are equal to certain global or ordinary Gromov-Witten invariants of a blowup of P^3 at points, and we compute these ordinary invariants using the geometry of the Cremona transform. We also realize the configurations in question as formal toric schemes and compute their formal Gromov--Witten invariants using the mathematical and physical theories of the topological vertex. In particular, we provide further evidence equating the vertex amplitudes derived from physical and mathematical theories of the topological vertex.

Affiliated with

Also associated with

No associations

Rating

The local Gromov-Witten invariants of configurations of rational curves 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 The local Gromov-Witten invariants of configurations of rational curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local Gromov-Witten invariants of configurations of rational curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581560