Explicit concave fillings of contact three-manifolds

Details Explicit concave fillings of contact three-manifolds Explicit concave fillings of contact three-manifolds

2001-04-05

arxiv.org/abs/math/0104059v3

Mathematics

Geometric Topology

15 pages. Accepted for publication in the Mathematical Proceedings of the Cambridge Philosophical Society. Current version is

Scientific paper

10.1017/S0305004102006291

In this paper we give explicit, handle-by-handle constructions of concave symplectic fillings of all closed, oriented contact 3-manifolds. These constructions combine recent results of Giroux relating contact structures and open book decompositions of 3-manifolds, earlier results of the author on attaching 4-dimensional symplectic 2-handles along transverse links, and some tricks with mapping class groups of compact surfaces with non-empty boundary.

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