Gauge Theory Learning Seminar
The smooth closing lemma for area-preserving diffeomorphisms of surfaces
Boyu Zhang (University of Maryland)
Location: Hill 705 and Zoom
Date & time: Friday, 01 December 2023 at 9:15AM - 10:15AM
Abstract: In this talk, I will introduce a proof of the smooth closing lemma for area-preserving diffeomorphisms on surfaces. The proof is based on a Weyl formula for Periodic Floer Homology spectral invariants and a non-vanishing result of twisted Seiberg-Witten Floer homology. I will give an overview of some of the tools used in the proof, including the Seiberg-Witten-Floer homology and spectral flow estimates. This is joint work with Dan Cristofaro-Gardiner and Rohil Prasad.