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arXiv · 2405.12902

Quantum Kirwan map and quantum Steenrod operation

Guangbo Xu
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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.

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Guangbo Xu. 2024-05-21. Quantum Kirwan map and quantum Steenrod operation. https://arxiv.org/abs/2405.12902

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