Quantum Steenrod operations of symplectic resolutions

Lee, Jae Hee

doi:10.2140/gt.2025.29.4341

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Author index

To appear

Other MSP journals

Quantum Steenrod operations of symplectic resolutions

Jae Hee Lee

Geometry & Topology 29 (2025) 4341–4387

DOI: 10.2140/gt.2025.29.4341

Abstract

We study the mod $p$ equivariant quantum cohomology of conical symplectic resolutions. We conjecture that the quantum Steenrod operations on divisor classes agree with the $p$ -curvature of the mod $p$ equivariant quantum connection, and verify this in the case of the Springer resolution. The key ingredient is a new compatibility relation between the quantum Steenrod operations and the shift operators.

Keywords

quantum connection, Steenrod operations, $p$-curvature, symplectic resolutions

Mathematical Subject Classification

Primary: 53D45

References

Publication

Received: 10 March 2024

Revised: 15 March 2025

Accepted: 15 April 2025

Published: 26 November 2025

Proposed: Leonid Polterovich

Seconded: Ciprian Manolescu, Jesper Grodal

Authors

Jae Hee Lee
Department of Mathematics Stanford University Stanford, CA United States

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

Volume 29, issue 8 (2025)