304 citations · 835 across the 35 of their papers we have counts for
12 papers · 1 filter
Sutured Khovanov homology, Hochschild homology, and the Ozsvath-Szabo spectral sequence
Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli
In 2001, Khovanov and Seidel constructed a faithful action of the (m+1)-strand braid group on the derived category of left modules over a quiver algebra, A_m. We interpret the Hoch…
On Khovanov-Seidel quiver algebras and bordered Floer homology
Denis Auroux, J. Elisenda Grigsby, Stephan M. Wehrli
We discuss a relationship between Khovanov- and Heegaard Floer-type homology theories for braids. Explicitly, we define a filtration on the bordered Heegaard-Floer homology bimodul…
Fukaya categories and bordered Heegaard-Floer homology
Denis Auroux
We outline an interpretation of Heegaard-Floer homology of 3-manifolds (closed or with boundary) in terms of the symplectic topology of symmetric products of Riemann surfaces, as s…
Fukaya categories of symmetric products and bordered Heegaard-Floer homology
Denis Auroux
The main goal of this paper is to discuss a symplectic interpretation of Lipshitz, Ozsvath and Thurston's bordered Heegaard-Floer homology in terms of Fukaya categories of symmetri…
The canonical pencils on Horikawa surfaces
Denis Auroux
We calculate the monodromies of the canonical Lefschetz pencils on a pair of homeomorphic Horikawa surfaces. We show in particular that the (pluri)canonical pencils on these surfac…
A stable classification of Lefschetz fibrations
Denis Auroux
We study the classification of Lefschetz fibrations up to stabilization by fiber sum operations. We show that for each genus there is a `universal' fibration f^0_g with the propert…