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arXiv · 1905.05108

Pseudo-rotations and Steenrod squares

Egor Shelukhin
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Abstract

In this note we prove that if a closed monotone symplectic manifold $M$ of dimension $2n,$ satisfying a homological condition that holds in particular when the minimal Chern number is $N>n,$ admits a Hamiltonian pseudo-rotation, then the quantum Steenrod square of the point class must be deformed. This gives restrictions on the existence of pseudo-rotations. Our methods rest on previous work of the author, Zhao, and Wilkins, going back to the equivariant pair-of-pants product-isomorphism of Seidel.

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Egor Shelukhin. 2019-05-13. Pseudo-rotations and Steenrod squares. https://arxiv.org/abs/1905.05108

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