Open books and configurations of symplectic surfaces and erratum

@inproceedings{Gay2002OpenBA,
  title={Open books and configurations of symplectic surfaces and erratum},
  author={David T. Gay},
  year={2002}
}
We study neighborhoods of configurations of symplectic surfaces in symplectic 4-manifolds. We show that suitably `positive' configurations have neighborhoods with concave boundaries and we explicitly describe open book decompositions of the boundaries supporting the associated negative contact structures. This is used to prove symplectic nonfillability for certain contact 3-manifolds and thus nonpositivity for certain mapping classes on surfaces with boundary. Similarly, we show that certain…