Berge duals and universally tight contact structures

2014/11/13 by Cornwell, Christopher R. · 1 citation
#57M25 #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1411.3711

Abstract

Dehn surgery on a knot determines a dual knot in the surgered manifold, the core of the filling torus. We consider duals of knots in S³ that have a lens space surgery. Each dual supports a contact structure. We show that if a universally tight contact structure is supported, then the dual is in the same homology class as the dual of a torus knot.

Cited by

• Transverse fibered knots and Taut Foliations

Related

• Tight Contact Structures via Admissible Transverse Surgery
• Jointly primitive knots and surgeries between lens spaces
• The lens space realization problem
• Admissible transverse surgery does not preserve tightness
• Lens space surgeries and L-space homology spheres