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Higher-genus quantum $K$-theory

You-Cheng Chou, Leo Herr and Yuan-Pin Lee

Vol. 330 (2024), No. 1, 85–121
Abstract

We prove genus g invariants in quantum K-theory are determined by genus zero invariants of a smooth stack in the spirit of K. Costello’s result in Gromov–Witten theory.

Keywords
quantum $K$-theory, Costello's pushforward formula
Mathematical Subject Classification
Primary: 14N35, 19E08
Milestones
Received: 2 June 2023
Revised: 14 April 2024
Accepted: 4 May 2024
Published: 22 July 2024
Authors
You-Cheng Chou
Institute of Mathematics
Academia Sinica
Taipei
Taiwan
Leo Herr
Department of Mathematics
University of Leiden
Leiden
Netherlands
Yuan-Pin Lee
Institute of Mathematics
Academia Sinica
Taipei
Taiwan

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