GW/PT Descendent Correspondence via Vertex Operators

A. Oblomkov, A. Okounkov, R. Pandharipande

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1321-1359
Number of pages39
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - 1 Mar 2020
Externally publishedYes


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