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Article

GW/PT Descendent Correspondence via Vertex Operators

Communications in Mathematical Physics. 2020. No. 374. P. 1321-1359.
Oblomkov A., Okounkov A., Pandharipande R.

We propose an explicit formula for the GW/PT descendent correspondence in the stationary case for nonsingular connected projective threefolds. 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 threefolds. An application to the Virasoro constraints for the stationary descendent theory of stable pairs will appear in a sequel.