196 citations · 819 across the 48 of their papers we have counts for
42 papers · 1 filter
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 k…
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…
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…
Floer homology beyond borders
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earl…
Bordered HF- for three-manifolds with torus boundary
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work.…