Detection results in link Floer homology

Geometry Topology Seminar
Monday, November 15, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Subhankar Dey – Univerity of Alabama
John Etnyre

In this talk I will briefly describe link Floer homology toolbox and its usefulness. Then I will show how link Floer homology can detect links with small ranks, using a rank bound for fibered links by generalizing an existing result for knots. I will also show that stronger detection results can be obtained as the knot Floer homology can be shown to detect T(2,8) and T(2,10), and that link Floer homology detects (2,2n)-cables of trefoil and figure eight knot. This talk is based on a joint work with Fraser Binns (Boston College).