Pinwheels and bypasses

Honda, Ko; Kazez, William H; Matić, Gordana

doi:10.2140/agt.2005.5.769

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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

Volume 5, issue 2 (2005)