GW/PT descendent correspondence via vertex operators

Saturday, 2 June, 2018

Published in: 

arXiv:1806.00714

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.

Author(s): 

Alexei Oblomkov
Andrei Okounkov
Rahul Pandharipande