Big fibers in symplectic topology

Abstract: We argue that existence of symplectically rigid fibers of integrable systems can be put on an equal footing with big fiber theorems from other areas of mathematics such as the Centerpoint theorem from ‎combinatorics and the Gromov maximal fiber theorem from topology. Our approach involves a symplectic counterpart of ideal-valued measures, and a new cohomology theory by Umut Varolgüneş. Symplectic preliminaries will be explained. This is work in progress with Adi Dickstein, Yaniv Ganor, and Frol Zapolsky.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

Topology and geometry: extremal and typical

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