An open book decomposition compatible with rational contact surgery

Abstract

We construct an open book decomposition compatible with a contact structure given by a rational contact surgery on a Legendrian link in the standard contact $S^3$. As an application we show that some rational contact surgeries on certain Legendrian knots induce overtwisted contact structures.

13 pages

References in corpus (3)

• Right-veering diffeomorphisms of compact surfaces with boundary II
• Lectures on open book decompositions and contact structures
• A Legendrian surgery presentation of contact 3-manifolds

Cited by in corpus (2)

• Every 4-Manifold is BLF
• Invariants of Legendrian knots from open book decompositions