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Neighbourhoods and isotopies of knots in contact 3-manifolds
Neighbourhoods isotopies of knots contact 3-manifolds
2011/1/19
We prove a neighbourhood theorem for arbitrary knots in contact 3-manifolds. As an application we show that two topologically isotopic Legendrian knots in a contact 3-manifold become Legendrian isotop...
According to Giroux, contact manifolds can be described as open books whose pages are Stein manifolds. For 5-dimensional contact manifolds the pages are Stein surfaces, which permit a description via ...
Some submanifolds of almost contact manifolds with Norden metric
Norden metric almost contact manifold submanifold Lie group
2010/12/1
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Local Symplectic Filling Obstructions Contact 3-Manifolds
2010/12/6
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
We extract an invariant taking values in N ∪ {∞}, which we call the order of algebraic torsion, from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstru...