Canonical contact structures on some singularity links

Abstract

We identify the canonical contact structure on the link of a simple elliptic or cusp singularity by drawing a Legendrian handlebody diagram of one of its Stein fillings. We also show that the canonical contact structure on the link of a numerically Gorenstein surface singularity is trivial considered as a real plane bundle.

The second version is substantially different from the first version. Bulletin of the London Mathematical Society, 2014

References in corpus (4)

• Four-dimensional symplectic cobordisms containing three-handles
• Handle moves in contact surgery diagrams
• Numerically Gorenstein surface singularities are homeomorphic to Gorenstein ones
• Infinitely many small exotic Stein fillings

Cited by in corpus (6)

• Symplectic Divisorial Capping in Dimension 4
• On Stein fillings of contact torus bundles
• On symplectic fillings of virtually overtwisted torus bundles
• Contact Structures on AR-singularity links
• Circular spherical divisors and their contact topology
• Strong symplectic fillability of contact torus bundles