منابع مشابه
Handle Moves in Contact Surgery Diagrams
We describe various handle moves in contact surgery diagrams, notably contact analogues of the Kirby moves. As an application of these handle moves, we discuss the respective classifications of long and loose Legendrian knots.
متن کاملOn Contact Surgery
In this note we show that +1-contact surgery on distinct Legendrian knots frequently produces contactomorphic manifolds. We also give examples where this happens for −1-contact surgery. As an amusing corollary we find overtwisted contact structures that contain a large number of distinct Legendrian knots with the same classical invariants and tight complements.
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متن کاملLutz Twist and Contact Surgery
For any knot T transverse to a given contact structure on a 3-manifold, we exhibit a Legendrian two-component link L = L1 t L2 such that T equals the transverse push-off of L1 and contact (+1)surgery on L has the same effect as a Lutz twist along T .
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2009
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtp002