Neighbourhoods and isotopies of knots in contact 3-manifolds
classification
🧮 math.SG
math.GT
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contactknotsisotopiclegendrianmanifoldsapplicationarbitrarybecome
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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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