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arXiv · 2112.09180

A new approach to the operator formalism for Gromov-Witten invariants of the cap and tube

Ajith Urundolil Kumaran·Longting Wu
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Abstract

Based on Johnson's operator formula for the equivariant Gromov-Witten theory of $\mathbb{P}^1$-orbifolds, we give a new approach to the operator formalism by Okounkov and Pandharipande regarding the $\mathbb{C}^*$-equivariant Gromov-Witten theory of $\mathbb{P}^1$ relative to one or two points. We also extend their operator formalism in the non-equivariant specialization to the case where we allow negative contact orders.

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Ajith Urundolil Kumaran, Longting Wu. 2021-12-16. A new approach to the operator formalism for Gromov-Witten invariants of the cap and tube. https://arxiv.org/abs/2112.09180

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