Download this article
 Download this article For screen
For printing
Recent Issues

Volume 28
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Congruences on K–theoretic Gromov–Witten invariants

Jérémy Guéré

Geometry & Topology 27 (2023) 3585–3618
Abstract

We study K–theoretic Gromov–Witten invariants of projective hypersurfaces using a virtual localization formula under finite group actions. In particular, it provides all K–theoretic Gromov–Witten invariants of the quintic threefold modulo 41, up to genus 19 and degree 40. As an illustration, we give an instance in genus one and degree one. Applying the same idea to a K–theoretic version of FJRW theory, we determine it modulo 205 for the quintic polynomial with minimal group and narrow insertions, in every genus.

Keywords
K–theory, Gromov-Witten theory, mirror symmetry
Mathematical Subject Classification
Primary: 14N35
References
Publication
Received: 16 April 2021
Revised: 7 January 2022
Accepted: 5 February 2022
Published: 5 December 2023
Proposed: Jim Bryan
Seconded: Dan Abramovich, Richard P Thomas
Authors
Jérémy Guéré
Institut Fourier
CNRS
Université de Grenoble Alpes
Grenoble
France

Open Access made possible by participating institutions via Subscribe to Open.