%0 Journal Article %T Explicit concave fillings of contact three-manifolds %A David T. Gay %J Mathematics %D 2001 %I arXiv %R 10.1017/S0305004102006291 %X 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. %U http://arxiv.org/abs/math/0104059v3