Partial open book decompositions and the contact class in sutured floer homology.

We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure inthe sutured Floer homology group of a balanced sutured three manifold which is associated to an abstractpartial open book decomposition. As an application we show that every contact three manifold (closed or with convex boundary) can be obtained by gluing tight contact handlebodies whose EH-classes are nontrivial. [ABSTRACT FROM AUTHOR]