Algebraic and Geometric Topology 3 (2003), paper no. 45, pages 1275-1276.

Correction to `Open books and configurations of symplectic surfaces'

David T. Gay

Abstract. We correct the main theorem in `Open books and configurations of symplectic surfaces' [Alg. Geom. Top. 3 (2003) 569--586] and its proof. As originally stated, the theorem gave conditions on a configuration of symplectic surfaces in a symplectic 4-manifold under which we could construct a model neighborhood with concave boundary and describe explicitly the open book supporting the contact structure on the boundary. The statement should have included constraints on the areas of the surfaces.

Keywords. Symplectic, contact, concave, open book, plumbing, fillable

AMS subject classification. Primary: 57R17. Secondary: 57N10, 57N13.

DOI: 10.2140/agt.2003.3.1275

E-print: arXiv:math.GT/0209153

Submitted: 1 December 2003. Published: 20 December 2003.

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David T. Gay
CIRGET, Universite du Quebec a Montreal
Case Postale 8888, Succursale centre-ville
Montreal (QC) H3C 3P8, Canada
Email: gay@math.uqam.ca

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