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

Published 25 Oct 2016 in math.AG | (1610.07723v1)

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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