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

2016/10/25 by Todor Milanov, Milanov, Todor, Valentin Tonita +1
Mathematics · Physics and Astronomy · #14N35 #37K10 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1610.07723

openalex publication_date 2016/10/25 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

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

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