%0 Journal Article %T Convex decomposition theory %A Ko Honda %A William H. Kazez %A Gordana Matic %J Mathematics %D 2001 %I arXiv %X We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that every toroidal 3-manifold carries infinitely many nonisotopic, nonisomorphic tight contact structures. %U http://arxiv.org/abs/math/0102022v1