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Abstract We study the tightness of positive contact surgery on Legendrian knots in tight contact 3-manifolds. Along with more general results, we give a partial generalisation of a result of… Click to show full abstract
Abstract We study the tightness of positive contact surgery on Legendrian knots in tight contact 3-manifolds. Along with more general results, we give a partial generalisation of a result of Lisca and Stipsicz: if L is a null-homologous Legendrian knot with t b ( L ) ≤ − 2 and | r o t ( L ) | > 2 g ( L ) − 1 + t b ( L ) , then contact ( + 1 ) –surgery on L is overtwisted. We also give a condition under which all positive contact surgeries on a Legendrian knot are overtwisted.
Keywords:
contact;
overtwisted positive;
topology;
contact surgeries;
positive contact
Journal Title: Topology and its Applications
Year Published: 2019
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Journal Title: Topology and its Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!