Mathematical Field Notes

Archive for July 2014

Gromoll filtration

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In my latest preprint with Georgios Dimitroglou Rizell, we use the topology of diffeomorphism groups of high-dimensional spheres to produce interesting examples of nontrivial topology in symplectomorphism groups of cotangent bundles. Until we started thinking about this, I didn’t know much about the higher homotopy groups of Diff(S^n) so here is some interesting stuff I learned while we were writing this paper.

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Written by Jonny Evans

July 14, 2014 at 7:16 am