Nonsqueezable Klein bottles

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• Jonny Evans (Lancaster)
• Wednesday 12 March 2025, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ailsa Keating.

Given a symplectic 4-manifold and a Z/2-homology class B, one can find a non-orientable Lagrangian submanifold L representing B. The value of the Euler characteristic of L is determined modulo 4 by the homology class B, but can be arbitrarily negative. For a given homology class B, what is the maximum Euler characteristic that can be achieved? And how does this depend on the cohomology class of the symplectic form? This is a hard question; I will explain what we know about the answer for the case when X is a product of two 2-spheres. (Joint with Nikolas Adaloglou.)

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

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