On Legendrian surgeries between lens spaces

Abstract

We obtain some obstructions to existence of Legendrian surgeries between tight lens spaces. We also study Legendrian surgeries between overtwisted contact manifolds.

16 pages; sign mistake in thm 1.2 corrected, minor updates for clarity

References in corpus (4)

• Lens space surgeries and L-space homology spheres
• Heegaard Floer homologies and contact structures
• Planar open books, monodromy factorizations, and symplectic fillings
• On Floer homology and the Berge conjecture on knots admitting lens space surgeries