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arXiv · 1012.1721

Neighbourhoods and isotopies of knots in contact 3-manifolds

Hansjörg Geiges·Fan Ding
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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.

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Hansjörg Geiges, Fan Ding. 2010-12-08. Neighbourhoods and isotopies of knots in contact 3-manifolds. https://arxiv.org/abs/1012.1721

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