On the Floer homology of plumbed three-manifolds.
Rational symplectic field theory over for exact Lagrangian cobordisms
We construct a version of rational Symplectic Field Theory for pairs , where is an exact symplectic manifold, where is an exact Lagrangian submanifold with components subdivided into subsets, and where both and have cylindrical ends. The theory associates to a -graded chain complex of vector spaces over , filtered with filtration levels. The corresponding -level spectral sequence is invariant under deformations of and has the following property: if is obtained by joining a...
Rohlin's invariant and gauge theory. II: Mapping tori.
Rohlin's invariant and gauge theory III. Homology 4–tori.
Seiberg-Witten Floer stable homotopy type of three-manifolds with .
Some remarks on tubular neighborhoods and gluing in Morse-Floer homology
We discuss the gluing principle in Morse-Floer homology and show that there is a gap in the traditional proof of the converse gluing theorem. We show how this gap can be closed by the use of a uniform tubular neighborhood theorem. The latter result is only stated here. Details are given in the authors' paper, Tubular neighborhoods and the Gluing Principle in Floer homology theory, to appear.
Sutured Heegaard diagrams for knots.
The periodic Floer homology of a Dehn twist.
The superpolynomial for knot homologies.