The Giroux correspondence in dimension 3

Geometry Topology Seminar
Monday, September 25, 2023 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Joseph Breen – University of Iowa –
Austin Christian

I will discuss recent work with K. Honda and Y. Huang on proving the Giroux correspondence between contact structures and open book decompositions. Though our work extends to all dimensions (with appropriate adjectives), this talk will focus on the 3-dimensional proof. I will first recall Giroux’s argument for existence of supporting open book decompositions, formulating it in the language adapted to our proof. The rest of the talk will be spent describing the proof of the stabilization correspondence.