Neighbourhoods and isotopies of knots in contact 3-manifolds

Details Neighbourhoods and isotopies of knots in contact 3-manifolds Neighbourhoods and isotopies of knots in contact 3-manifolds

2010-12-08

arxiv.org/abs/1012.1721v1

Arch. Math. (Basel) 97 (2011), 391-397

Mathematics

Symplectic Geometry

5 pages, 1 figure

Scientific paper

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 isotopic after suitable stabilisations.

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