5 citations · 5 across the 1 of their papers we have counts for
4 papers
Bordered Floer homology and incompressible surfaces
Akram Alishahi, Robert Lipshitz
We show that bordered Heegaard Floer homology detects incompressible surfaces and bordered-sutured Floer homology detects partly boundary parallel tangles and bridges, in natural w…
Colored knot Floer homology: structures and examples
Akram Alishahi, Eugene Gorsky, Beibei Liu
Inspired by the colored version of Khovanov and Khovanov-Rozansky homology, we define a colored version of knot Floer homology by studying the colimit of a directed system of…
Detecting Heegaard Floer homology solid tori
Akram Alishahi, Tye Lidman, Robert Lipshitz
We show that a rational homology solid torus is a Heegaard Floer homology solid torus if and only if it has a Dehn filling with a non-separating 2-sphere. Using this, we characteri…
Bordered Floer homology, handlebody detection, and compressing diffeomorphisms
Akram Alishahi, Robert Lipshitz
We show that, up to connected sums with integer homology -spaces, bordered Floer homology detects handlebodies, as well as whether a mapping class extends over a given handlebod…