30 citations · 244 across the 39 of their papers we have counts for
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math.SG2019
Diffeomorphism type via aperiodicity in Reeb dynamics
Myeonggi Kwon, Kevin Wiegand, Kai Zehmisch
We characterise boundary shaped disc like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphis…
math.SG2019★ 6 cited
Diffeomorphism type of symplectic fillings of unit cotangent bundles
Hansjörg Geiges, Myeonggi Kwon, Kai Zehmisch
We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.
math.DS2019★ 6 cited
A symplectic dynamics proof of the degree-genus formula
Peter Albers, Hansjörg Geiges, Kai Zehmisch
We classify global surfaces of section for the Reeb flow of the standard contact form on the 3-sphere, defining the Hopf fibration. As an application, we prove the degree-genus for…