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Partial open book decompositions and the contact class in sutured floer homology Tolga Etgü andBurakÖzba˘gcı We demonstrate how to combinatorially calculate the EH-class of a compatible contact structure in partial 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. Key word and phrases: Partial open book decomposition, contact three-manifold with convex boundary, sutured manifold, sutured Floer homology, EH-contact class. 1

Year: 2013
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