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Lutz twist and contact surgery

Fan Ding, Hansjörg Geiges, András I. Stipsicz

math.SGarXiv:math/0401338

Abstract

For any knot T transverse to a given contact structure on a 3-manifold, we exhibit a Legendrian two-component link such that T equals the transverse push-off of one of the link components and contact (+1)-surgery on the link has the same effect as a Lutz twist along T.

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