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Thin position for knots and 3–manifolds: a unified approach

Hugh Howards, Yo'av Rieck and Jennifer Schultens

Geometry & Topology Monographs 12 (2007) 89–120

DOI: 10.2140/gtm.2007.12.89

arXiv: 0903.5543
Abstract

We unify the notions of thin position for knots and for 3–manifolds and survey recent work concerning these notions.

Keywords

thin position, knot, 3-manifold
Mathematical Subject Classification

Primary: 57M25, 57M27

Secondary: 57N10
References
Publication

Received: 11 March 2006
Revised: 20 January 2007
Accepted: 20 January 2007
Published: 3 December 2007
Authors
Hugh Howards
Department of Mathematics
Wake Forest University
PO Box 7388
127 Manchester Hall
Winston-Salem NC 27109
USA
Yo'av Rieck
Department of Mathematics
University of Arkansas
Fayetteville AR 72701
USA
Jennifer Schultens
Department of Mathematics
University of California, Davis
1 Shields Avenue
Davis CA 95616
USA