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Knots with compressible thin levels

Ryan Blair and Alexander Zupan
Algebraic & Geometric Topology 15 (2015) 1691–1715
DOI: 10.2140/agt.2015.15.1691
Abstract

We produce embeddings of knots in thin position that admit compressible thin levels. We also find the bridge number of tangle sums where each tangle is high distance.

Keywords
thin position, distance in the curve complex, width
Mathematical Subject Classification 2010
Primary: 57M25, 57M27
Secondary: 57M50
References
Publication
Received: 11 June 2014
Revised: 27 October 2014
Accepted: 30 October 2014
Published: 19 June 2015
Authors
Ryan Blair
Department of Mathematics and Statistics
California State University, Long Beach
1250 Bellflower Blvd
Long Beach, CA 90840
USA
http://www.csulb.edu/~rblair/
Alexander Zupan
Department of Mathematics
University of Texas at Austin
1 University Station C1200
Austin, TX 78712
USA
http://www.ma.utexas.edu/users/zupan/