4 papers
math.GT2025
Immersed Curves and 4-Manifold Invariants
Jesse Cohen, Gary Guth
For 3-manifolds with torus boundary, the bordered Heegaard Floer invariants of Lipshitz--Ozsváth--Thurston have a geometric interpretation as immersed multi-curves with local syste…
math.GT2024
An Ozsváth--Szabó-type spectral sequence for links in
Jesse Cohen
We show that there is a spectral sequence with -page given by the Khovanov homology of a link in , as defined by Rozansky in arXiv:1011.1958, which converges to…
math.GT2023
Composition Maps in Heegaard Floer Homology
Jesse Cohen
We use results of Auroux arXiv:1001.4323 and Zemke arXiv:1801.09270 to prove that, in the morphism spaces formulation of Heegaard Floer homology given in arXiv:1005.1248, the oppos…
math.GT2022
An Exceptional Splitting of Khovanov's Arc Algebras in Characteristic 2
Jesse Cohen
We show that there is an associative algebra such that, over a base ring of characteristic 2, Khovanov's arc algebra is isomorphic to the algebra $\wide…