GW/PT descendent correspondence via vertex operators
Algebraic Geometry
2020-04-09 v3 Mathematical Physics
math.MP
Abstract
We propose an explicit formula for the GW/PT descendent correspondence in the stationary case for nonsingular projective 3-folds. The formula, written in terms of vertex operators, is found by studying the 1-leg geometry. We prove the proposal for all nonsingular projective toric 3-folds. An application to the Virasoro constraints for the stationary descendent theory of stable pairs will appear in a sequel.
Keywords
Cite
@article{arxiv.1806.00714,
title = {GW/PT descendent correspondence via vertex operators},
author = {Alexei Oblomkov and Andrei Okounkov and Rahul Pandharipande},
journal= {arXiv preprint arXiv:1806.00714},
year = {2020}
}
Comments
36 pages, no pictures; few misprints are corrected; to appear in Communications in Mathematical Physics; slight change in the definition of the generating function for GW invariants; many misprints corrected