Algebraic & Geometric Topology

Correction to “Open books and configurations of symplectic surfaces”

David T Gay

Full-text: Open access

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.

Article information

Source
Algebr. Geom. Topol., Volume 3, Number 2 (2003), 1275-1276.

Dates
Received: 1 December 2003
First available in Project Euclid: 21 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513882436

Digital Object Identifier
doi:10.2140/agt.2003.3.1275

Subjects
Primary: 57R17: Symplectic and contact topology
Secondary: 57N10: Topology of general 3-manifolds [See also 57Mxx] 57N13: Topology of $E^4$ , $4$-manifolds [See also 14Jxx, 32Jxx]

Keywords
symplectic contact concave open book plumbing fillable

Citation

Gay, David T. Correction to “Open books and configurations of symplectic surfaces”. Algebr. Geom. Topol. 3 (2003), no. 2, 1275--1276. doi:10.2140/agt.2003.3.1275. https://projecteuclid.org/euclid.agt/1513882436


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