5 citations · 5 across the 3 of their papers we have counts for
7 papers · 1 filter
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…
Real bordered Floer homology
Robert Lipshitz, Peter Ozsváth
Fix a 3-manifold with boundary and an orientation-preserving involution exchanging the boundary components, with nonempty fixed set. To an appropriate…
Local equivalence and refinements of Rasmussen's s-invariant
Nathan M. Dunfield, Robert Lipshitz, Dirk Schuetz
Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivaria…
Involutive bordered Floer homology
Kristen Hendricks, Robert Lipshitz
We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group…
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…