Trivial tangles, compressible surfaces and Floer homology

Geometry/topology Seminar

Akram Alishahi (Columbia University, Mathematics)

Monday, April 9, 2018 -
3:15pm to 4:15pm
119 Physics

Heegaard Floer homology has different extensions for 3-manifolds with boundary. In this talk, we will recall some basics of these extensions and explain how they can be used to give a computationally effective way for detecting boundary parallel components of tangles, and existence of homologically essential compressing disks. The fact that these are checkable by computer, is based on the factoring algorithm of Lipshitz-Ozsvath-Thurston for computing bordered Floer homology, and our extension of it to compute bordered-sutured Floer homology. This is joint work with Robert Lipshitz.

Last updated: 2018/05/21 - 12:02am