Oliver Edtmair

activity

20222024

collaborators

3 papers

math.SG2024

On closed characteristics of minimal action on a convex three-sphere

Alberto Abbondandolo, Oliver Edtmair, Jungsoo Kang

We prove that every closed characteristic of minimal action on the boundary of a uniformly convex domain in $R^{4}$ bounds a disk-like global surface of section. A corollary is that…

math.SG2023

Legendrian embedded contact homology

Julian Chaidez, Oliver Edtmair, Luya Wang +2

We give a construction of embedded contact homology (ECH) for a contact $3$ -manifold $Y$ with convex sutured boundary and a pair of Legendrians $Λ_{+}$ and $Λ_{-}$ contained in $\parti…

math.SG2022

An elementary alternative to PFH spectral invariants

Oliver Edtmair

Inspired by Hutchings' elementary alternative to ECH capacities, we introduce an elementary alternative to spectral invariants defined via periodic Floer homology (PFH). We use the…