Journal of Symplectic Geometry

Convex plumbings and Lefschetz fibrations

David Gay and Thomas E. Mark

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Abstract

We show that under appropriate hypotheses, a plumbing of symplectic surfaces in a symplectic 4-manifold admits strongly convex neighborhoods. Moreover the neighborhoods are Lefschetz fibered with an easily described open book on the boundary supporting the induced contact structure. We point out some applications to cut-and-paste constructions of symplectic 4-manifolds.

Article information

Source
J. Symplectic Geom. Volume 11, Number 3 (2013), 363-375.

Dates
First available in Project Euclid: 12 November 2013

Permanent link to this document
https://projecteuclid.org/euclid.jsg/1384282841

Mathematical Reviews number (MathSciNet)
MR3100798

Zentralblatt MATH identifier
1281.53077

Citation

Gay, David; Mark, Thomas E. Convex plumbings and Lefschetz fibrations. J. Symplectic Geom. 11 (2013), no. 3, 363--375. https://projecteuclid.org/euclid.jsg/1384282841.


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