The quantum Steenrod square

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• Nicholas Wilkins, Oxford
• Wednesday 24 October 2018, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

The Steenrod square is a ring homomorphism from the cohomology of a topological space to the Z/2-equivariant cohomology of this space (with the trivial Z/2-action). Given a closed monotone symplectic manifold, we will define a deformed notion of the Steenrod square for quantum cohomology, which will not in general be a ring homomorphism, and prove the quantum Cartan formula as a deformation of the classical Cartan formula. Time permitting, we will frame these in the broader setting of Seidel’s equivariant pair-of-pants product.

This talk is part of the Differential Geometry and Topology Seminar series.

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