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arXiv · 1806.00714

GW/PT descendent correspondence via vertex operators

Alexei Oblomkov·Andrei Okounkov·Rahul Pandharipande
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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.

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Alexei Oblomkov, Andrei Okounkov, Rahul Pandharipande. 2018-06-02. GW/PT descendent correspondence via vertex operators. https://arxiv.org/abs/1806.00714

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