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arXiv · 1610.07723

K-theoretic Gromov--Witten invariants in genus 0 and integrable hierarchies

Todor Milanov·Valentin Tonita
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Abstract

We prove that the genus-0 invariants in K-theoretic Gromov--Witten theory are governed by an integrable hierarchy of hydrodynamic type. If the K-theoretic quantum product is semisimple, then we also prove the completeness of the hierarchy.

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Todor Milanov, Valentin Tonita. 2016-10-25. K-theoretic Gromov--Witten invariants in genus 0 and integrable hierarchies. https://arxiv.org/abs/1610.07723

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