Topology Seminar: Claudius Zibrowius

Conway mutation is an operation on links that is notoriously difficult to detect: it preserves many link invariants such as the signature, the Alexander polynomial or, more generally, the HOMFLY polynomial. Baldwin and Levine conjectured that δ-graded link Floer  omology also belongs in this list—despite the fact that *bigraded* link Floer homology can distinguish some mutant knots such as the famous Kinoshita-Terasaka and Conway knots.

In [arXiv:1909.04267], I proved Baldwin and Levine's conjecture by studying symmetry properties of peculiar modules, an immersed curve invariant of 4-ended tangles. In this talk, I will sketch this proof.