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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 ...
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...