Local geometry of symplectic divisors with applications to contact torus bundles

Abstract

In this note we study the contact geometry of symplectic divisors. We show the contact structure induced on the boundary of a divisor neighborhood is invariant under toric and interior blow-ups and blow-downs. We also construct an open book decomposition on the boundary of a concave divisor neighborhood and apply it to the study of universally tight contact structures of contact torus bundles.

The appendix and part of Section 2.3 are moved here from arXiv:2002.10504

References in corpus (2)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Lectures on open book decompositions and contact structures