196 citations · 819 across the 48 of their papers we have counts for
6 papers · 1 filter
Relative Q-gradings from bordered Floer theory
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
In this paper we show how to recover the relative Q-grading in Heegaard Floer homology from the noncommutative grading on bordered Floer homology.
Notes on bordered Floer homology
Robert Lipshitz, Peter Ozsváth, Dylan Thurston
This is a survey of bordered Heegaard Floer homology, an extension of the Heegaard Floer invariant HF-hat to 3-manifolds with boundary. Emphasis is placed on how bordered Heegaard…
A refinement of Rasmussen's s-invariant
Robert Lipshitz, Sucharit Sarkar
In a previous paper we constructed a spectrum-level refinement of Khovanov homology. This refinement induces stable cohomology operations on Khovanov homology. In this paper we sho…
A Steenrod Square on Khovanov Homology
Robert Lipshitz, Sucharit Sarkar
In a previous paper, we defined a space-level version X(L) of Khovanov homology. This induces an action of the Steenrod algebra on Khovanov homology. In this paper, we describe the…
Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
Robert Lipshitz, David Treumann
Let A be a dg algebra over F_2 and let M be a dg A-bimodule. We show that under certain technical hypotheses on A, a noncommutative analog of the Hodge-to-de Rham spectral sequence…
Khovanov homotopy types and the Dold-Thom functor
Brent Everitt, Robert Lipshitz, Sucharit Sarkar +1
We show that the spectrum constructed by Everitt and Turner as a possible Khovanov homotopy type is a product of Eilenberg-MacLane spaces and is thus determined by Khovanov homolog…