Gromov-Witten/Pairs descendent correspondence for toric 3-folds

Details Gromov-Witten/Pairs descendent correspondence for toric 3-folds Gromov-Witten/Pairs descendent correspondence for toric 3-folds

2012-03-02

arxiv.org/abs/1203.0468v1

Mathematics

Algebraic Geometry

82 pages

Scientific paper

We construct a fully equivariant correspondence between Gromov-Witten and stable pairs descendent theories for toric 3-folds X. Our method uses geometric constraints on descendents, A_n surfaces, and the topological vertex. The rationality of the stable pairs descendent theory plays a crucial role in the definition of the correspondence. We prove our correspondence has a non-equivariant limit. As a result of the construction, we prove an explicit non-equivariant stationary descendent correspondence for X (conjectured previously by MNOP). Using descendent methods, we establish the relative GW/Pairs correspondence for X/D in several basic new log Calabi-Yau geometries. Among the consequences is a rationality constraint for non-equivariant descendent Gromov-Witten series for P^3.

Affiliated with

Also associated with

No associations

Rating

Gromov-Witten/Pairs descendent correspondence for toric 3-folds 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 Gromov-Witten/Pairs descendent correspondence for toric 3-folds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gromov-Witten/Pairs descendent correspondence for toric 3-folds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-166569