I will discuss a proof that a complete, non-compact hyperbolic
3- manifold $M$ with finite volume contains an immersed, closed,
quasi-Fuchsian surface that separates a given pair of points in the
sphere at infinity. Joint with David Futer.
Eliashberg and Thurston proved that the tangent plane field of any
C2 taut oriented foliation F≠S1×S2 can be C0 approximated by a pair
of particularly nice smooth contact structures. Kazez and Roberts
proved that the requirement that F be C2 can be...
Contact homology is a powerful invariant of contact manifolds
introduced by Eliashberg--Givental--Hofer. The definition involves
certain counts of pseudo-holomorphic curves, however these are
usually only "virtual" counts since the moduli spaces of...
I will speak about a simple way to represent surfaces in the
three-space by diagrams similar to rectangular diagrams of links. A
set of moves will be given by which one can connect any two
diagrams representing isotopic surfaces. By forbidding some...
