Bennequin type inequalities in lens spaces

Abstract

We give criteria for an invariant of lens space links to bound the maximal self-linking number in certain tight contact lens spaces. As a corollary we extend the Franks-Williams-Morton inequality to the setting of lens spaces.

21 pages, 13 figures; International Mathematics Research Notices 2011

References in corpus (2)

• Grid Diagrams for Lens Spaces and Combinatorial Knot Floer Homology
• Grid Diagrams, Braids, and Contact Geometry

Cited by in corpus (5)

• Legendrian Contact Homology in Seifert Fibered Spaces
• Rational Seifert Surfaces in Seifert Fibered Spaces
• On the S^1 x S^2 HOMFLY-PT invariant and Legendrian links
• Contact (+1)-surgeries on rational homology 3-spheres
• Generalized normal rulings and invariants of Legendrian solid torus links