Research-Mean action, rotation number and Calabi invariant of area-preseving annulus diffeomorphisms

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Mean action, rotation number and Calabi invariant of area-preseving annulus diffeomorphisms

Speaker: Huadi Qu (SUSTech)
Time: Apr 20, 2023, 10:30-11:30
Location: M2001, College of Science Bldg.

Abstract

We are interested in fine structures of periodic orbits of area-preserving diffeomorphisms on Annulus. By considering the open book decomposition of a three dimensional manifold, we can relate the dynamics of certain flows on the manifold and the dynamics of area-preserving diffeomorphisms of surfaces. Recently, Hutchings and Weiler using information of Reeb flows on 3-dimensional contact manifolds, coming from ECH theory, obtain results about area-preserving diffeomorphisms of surfaces. We want to give further analysis to this results and obtain a more intrinsic result which contains all the situation.