196 citations · 819 across the 48 of their papers we have counts for
5 papers · 1 filter
A faithful linear-categorical action of the mapping class group of a surface with boundary
Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin^c-structure is faithful. This paper is designed partly as an introducti…
Bordered Floer homology and the spectral sequence of a branched double cover I
Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston
Given a link in the three-sphere, Z. Szabó and the second author constructed a spectral sequence starting at the Khovanov homology of the link and converging to the Heegaard Floer…
Computing HF^ by factoring mapping classes
Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston
Bordered Heegaard Floer homology is an invariant for three-manifolds with boundary. In particular, this invariant associates to a handle decomposition of a surface F a differential…
Heegaard Floer homology as morphism spaces
Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston
In this paper we prove another pairing theorem for bordered Floer homology. Unlike the original pairing theorem, this one is stated in terms of homomorphisms, not tensor products.…
Bimodules in bordered Heegaard Floer homology
Robert Lipshitz, Peter S. Ozsvath, Dylan P. Thurston
Bordered Heegaard Floer homology is a three-manifold invariant which associates to a surface F an algebra A(F) and to a three-manifold Y with boundary identified with F a module ov…