Conway mutation in knot Floer, Khovanov and Bar-Natan homology

Conway mutation in knot Floer, Khovanov and Bar-Natan homology

Triangle Topology Seminar

Claudius Zibrowius (University of British Columbia, Mathematics)

Monday, February 17, 2020 -
3:15pm to 4:15pm
Location: 
Physics 119

Conway mutation is an operation on links that is notoriously difficult to detect: it preserves many classical link invariants such as the Alexander polynomial and the Jones polynomial. How the corresponding link homology theories behave under mutation is still a question of active research. In this talk, I will discuss some progress that has recently been made in this area using certain immersed curve invariants for 4-ended tangles, which put these homology theories locally on an equal footing. This is in large parts joint work with Liam Watson and Artem Kotelskiy.

Last updated: 2020/04/02 - 2:34pm