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arXiv · 2008.12514

Virasoro constraints for stable pairs on toric 3-folds

M. Moreira·A. Oblomkov·A. Okounkov·R. Pandharipande
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Abstract

Using new explicit formulas for the stationary GW/PT descendent correspondence for nonsingular projective toric 3-folds, we show that the correspondence intertwines the Virasoro constraints in Gromov-Witten theory for stable maps with the Virasoro constraints for stable pairs. Since the Virasoro constraints in Gromov-Witten theory are known to hold in the toric case, we establish the stationary Virasoro constraints for the theory of stable pairs on toric 3-folds. As a consequence, new Virasoro constraints for tautological integrals over Hilbert schemes of points on surfaces are also obtained.

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M. Moreira, A. Oblomkov, A. Okounkov, R. Pandharipande. 2020-08-28. Virasoro constraints for stable pairs on toric 3-folds. https://arxiv.org/abs/2008.12514

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