An "unlinked" Floer homology, and Poincaré surfaces.

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• Barney Bramham, Bochum
• Wednesday 24 February 2016, 16:00-17:00
• MR13.

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

A Poincaré surface can be a powerful tool for analysing a dynamical system in low dimensions. An interesting connection to pseudo-holomorphic curves was discovered in the late 90’s by Hofer-Wysocki-Zehnder. But it remains difficult to construct the pseudo-holomorphic curves one would like to have. A natural way to overcome this problem leads to a new version of Floer’s Morse theory of the action functional in low dimensions, using so called unlinked collections of periodic orbits – a concept taken from LeCalvez’ work on surface homeomorphisms. I will describe this “unlinked” Floer homology and what it gives us.

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

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