196 citations · 819 across the 48 of their papers we have counts for
51 papers
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…
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
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…
Torsion in linearized contact homology for Legendrian knots
Robert Lipshitz, Lenhard Ng
We present examples of Legendrian knots in that have linearized Legendrian contact homology over containing torsion. As a consequence, we show that ther…