The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
In 1997, Chekanov gave the first example of a Legendrian nonsimple knot type: the knot. Epstein, Fuchs, and Meyer extended his result by showing that there are at least different Legendrian representatives with maximal Thurston-Bennequin number of the twist knot with crossing number . In this paper we give a complete classification of Legendrian and transverse representatives of twist knots. In particular, we show that has exactly Legendrian representatives with maximal Thurston–Bennequin...
In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.
A differential 1-form on a -dimensional manifolds defines a singular contact
structure if the set of points where the contact condition is not satisfied,
, is nowhere dense in . Then
is a hypersurface with singularities and the restriction of to can be
defined. Our first theorem states that in the holomorphic, real-analytic, and smooth
categories the germ of Pfaffian equation generated by is determined,
up to a diffeomorphism, by its restriction to , if we eliminate certain degenerated
singularities...
Currently displaying 1 –
3 of
3