4 citations · 9 across the 5 of their papers we have counts for
6 papers
Annular Khovanov homology and meridional disks
Gage Martin
We exhibit infinite families of annular links for which the maximum non-zero annular Khovanov grading grows infinitely large but the maximum non-zero annular Floer-theoretic gradin…
Knot Floer homology, link Floer homology and link detection
Fraser Binns, Gage Martin
We give new link detection results for knot and link Floer homology inspired by recent work on Khovanov homology. We show that knot Floer homology detects , , $T(3,…
Khovanov homology detects
Gage Martin
We show if is any link in whose Khovanov homology is isomorphic to the Khovanov homology of then is isotopic to . We show this for unreduced Khovanov…
Braids, fibered knots, and concordance questions
Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose +5
Given a knot in , one can associate to it a surface diffeomorphism in two different ways. First, an arbitrary knot in can be represented by braids, which can be though…
Khovanov homology and causality in spacetimes
Vladimir Chernov, Gage Martin, Ina Petkova
We observe that Khovanov homology detects causality in -dimensional globally hyperbolic spacetimes whose Cauchy surface is homeomorphic to
Annular Rasmussen invariants: Properties and 3-braid classification
Gage Martin
We prove that for a fixed braid index there are only finitely many possible shapes of the annular Rasmussen invariant of braid closures. Applying the same perspective to the…