Growth functions of surface groups.
Growth functions on Fuchsian groups and the Euler characteristic.
Handle attaching in symplectic homology and the Chord Conjecture
Arnold conjectured that every Legendrian knot in the standard contact structure on the 3-sphere possesses a haracteristic chord with respect to any contact form. I confirm this conjecture if the know has Thurston-Bennequin invariant . More generally, existence of chords is proved for a standard Legendrian unknot on the boundary of a subcritical Stein manifold of any dimension. There is also a multiplicity result which implies in some situations existence of infinitely many chords. The proof relies...
Handlebody splittings of compact 3-manifolds with boundary.
The purpose of this paper is to relate several generalizations of the notion of the Heegaard splitting of a closed 3-manifold to compact, orientable 3-manifolds with nonempty boundary.
Hausdorff combing of groups and for universal covering spaces of closed 3-manifolds
h-Cobordismes entre variétés homéomorphes.
Heegaard and regular genus of 3-manifolds with boundary.
By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
Heegaard Floer homology and alternating knots.
Heegaard Floer invariants of Legendrian knots in contact three-manifolds
Heegaard gradient and virtual fibers.
Heegaard Splittings and Branched Coverings of B3.
Heegaard splittings and virtually Haken Dehn filling.
Heegaard splittings and virtually Haken Dehn filling. II.
Heegaard splittings of exteriors of two bridge knots.
Heegaard splittings of graph manifolds.
Heegaard splittings of (surface) x I are standars.
Heegaard splittings of the pair of solid torus and the core loop.
We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.
Hegaard genus of closed orientable Seifert 3-manifolds.
High-dimensional knots corresponding to the fractional Fibonacci groups
We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.
Higher-dimensional categories with finite derivation type.