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arXiv · 2101.05981

Local geometry of symplectic divisors with applications to contact torus bundles

Tian-Jun Li·Jie Min
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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.

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Tian-Jun Li, Jie Min. 2021-01-15. Local geometry of symplectic divisors with applications to contact torus bundles. https://arxiv.org/abs/2101.05981

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