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.
Gay, David T  1
@article{10_2140_agt_2003_3_1275,
author = {Gay, David T},
title = {Correction to {{\textquotedblleft}Open} books and configurations of symplectic surfaces{\textquotedblright}},
journal = {Algebraic and Geometric Topology},
pages = {1275--1276},
year = {2003},
volume = {3},
number = {2},
doi = {10.2140/agt.2003.3.1275},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2003.3.1275/}
}
TY - JOUR AU - Gay, David T TI - Correction to “Open books and configurations of symplectic surfaces” JO - Algebraic and Geometric Topology PY - 2003 SP - 1275 EP - 1276 VL - 3 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2003.3.1275/ DO - 10.2140/agt.2003.3.1275 ID - 10_2140_agt_2003_3_1275 ER -
Gay, David T. Correction to “Open books and configurations of symplectic surfaces”. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1275-1276. doi: 10.2140/agt.2003.3.1275
[1] , Open books and configurations of symplectic surfaces, Algebr. Geom. Topol. 3 (2003) 569
[2] , , Constructing symplectic forms on 4–manifolds which vanish on circles, Geom. Topol. 8 (2004) 743
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