Neighbourhoods and isotopies of knots in contact 3-manifolds

Abstract

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.

arXiv comment5 pages, 1 figure

References in corpus (1)

• Legendrian knots in overtwisted contact structures