Work

Quantum Kirwan map and quantum Steenrod operation

Year: 2024

Type: preprint

Abstract: We construct an equivariant extension of the quantum Kirwan map and show that it intertwines the classical Steenrod operation on the cohomology of a classifying space with the quantum Steenrod operation of a monotone symplectic reduction. This provides a new method of computing quantum Steenrod operations developed by Seidel-Wilkins. When specialized to the non-equivariant piece, our result also resolves the monotone case of Salamon's quantum Kirwan map conjecture in the symplectic setting.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2405.12902

Author: Xu, Guangbo

Institutions: Rutgers, The State University of New Jersey, Environmental and Occupational Health Sciences Institute

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Techniques in Symplectic Geometry and Applications

OpenAlex ID: W4398230434

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