Geodesic
Knots with compressible thin levels
Blair, Ryan1 ; Zupan, Alexander2
1Department of Mathematics and Statistics, California State University, Long Beach, 1250 Bellflower Blvd, Long Beach, CA 90840, USA
2Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA
Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1691-1715
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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.

DOI : 10.2140/agt.2015.15.1691
Classification : 57M25, 57M27, 57M50
Keywords: thin position, distance in the curve complex, width

Blair, Ryan  1   ; Zupan, Alexander  2

1 Department of Mathematics and Statistics, California State University, Long Beach, 1250 Bellflower Blvd, Long Beach, CA 90840, USA
2 Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712, USA 
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Blair, Ryan; Zupan, Alexander. Knots with compressible thin levels. Algebraic and Geometric Topology, Tome 15 (2015) no. 3, pp. 1691-1715. doi: 10.2140/agt.2015.15.1691

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