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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Detecting tightness via open book decompositions

Andy Wand

Geometry & Topology Monographs 19 (2015) 291–317
Abstract

This article is an expository overview of work by the author characterizing tightness of a closed contact 3–manifold in terms of arbitrary open book decompositions thereof. The intent is to provide a “user’s guide” of the theory.

Keywords
contact structures, open book decompositions, overtwisted discs, tightness, Stein cobordism
Mathematical Subject Classification 2010
Primary: 53D10
Secondary: 57M25, 57R65
References
Publication
Received: 24 June 2015
Accepted: 24 June 2015
Published: 29 December 2015
Authors
Andy Wand
Laboratoire de Mathématiques Jean Leray
Université de Nantes
F-44322 Nantes
France