The symplectic Thom conjecture.
Holomorphic disks and genus bounds.
On the Floer homology of plumbed three-manifolds.
Knot Floer homology and the four-ball genus.
Heegaard Floer invariants of Legendrian knots in contact three-manifolds
A faithful linear-categorical action of the mapping class group of a surface with boundary
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.
Page 1