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Correction to “Open books and configurations of symplectic surfaces”

David T Gay

Algebraic & Geometric Topology 3 (2003) 1275–1276

Correction to Algebraic & Geometric Topology 3 (2003) 569–586

arXiv: math.GT/0209153

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
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57N10, 57N13
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Publication
Received: 1 December 2003
Published: 20 December 2003
Authors
David T Gay
CIRGET
Université du Québec à Montréal
Case Postale 8888
Succursale centre-ville
Montréal
Québec H3C 3P8
Canada