Topology Seminar (Main Talk): Knot Floer homology and fibered knots

Seminar | April 11 | 4-5 p.m. | 3 Evans Hall

 Shea Vela-Vick, LSU

 Department of Mathematics

We prove that the knot Floer homology of a fibered knot is nontrivial in its next-to-top Alexander grading. Immediate applications include a new proof that L-space knots prime and a classification of knots 3-manifolds with rank 3 knot Floer homology. We will also discuss a numerical refinement of the Ozsvath-Szabo contact invariant. This is joint work with John Baldwin.

 conway@berkeley.edu