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Pinwheels and bypasses

Ko Honda, William H Kazez and Gordana Matić
Algebraic & Geometric Topology 5 (2005) 769–784
DOI: 10.2140/agt.2005.5.769

arXiv: math.GT/0501354
Abstract

We give a necessary and sufficient condition for the addition of a collection of disjoint bypasses to a convex surface to be universally tight – namely the nonexistence of a polygonal region which we call a virtual pinwheel.

Keywords
tight, contact structure, bypass, pinwheel, convex surface
Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 53C15
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Publication
Received: 21 January 2005
Accepted: 31 May 2005
Published: 23 July 2005
Authors
Ko Honda
University of Southern California
Los Angeles CA 90089
USA
William H Kazez
University of Georgia
Athens GA 30602
USA
Gordana Matić
University of Georgia
Athens GA 30602
USA