Vol. 239, No. 1, 2009

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Width complexes for knots and 3-manifolds

Jennifer Schultens

Vol. 239 (2009), No. 1, 135–156
Abstract

We define the width complexes for knots and 3-manifolds. We consider basic cases and reformulate the stabilization problem for Heegaard splittings from this point of view.

Keywords
width of knots, width of 3-manifolds, Cerf theory
Mathematical Subject Classification 2000
Primary: 57N10
Secondary: 57M25
Milestones
Received: 28 January 2008
Revised: 30 July 2008
Accepted: 1 August 2008
Published: 1 January 2009
Authors
Jennifer Schultens
Department of Mathematics
1 Shields Avenue
University of California
Davis, CA 95616
United States