Algebraic & Geometric Topology

Knots with compressible thin levels

Ryan Blair and Alexander Zupan

Full-text: Open access

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.

Article information

Source
Algebr. Geom. Topol., Volume 15, Number 3 (2015), 1691-1715.

Dates
Received: 11 June 2014
Revised: 27 October 2014
Accepted: 30 October 2014
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1510840972

Digital Object Identifier
doi:10.2140/agt.2015.15.1691

Mathematical Reviews number (MathSciNet)
MR3361148

Zentralblatt MATH identifier
1325.57002

Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M27: Invariants of knots and 3-manifolds
Secondary: 57M50: Geometric structures on low-dimensional manifolds

Keywords
thin position distance in the curve complex width

Citation

Blair, Ryan; Zupan, Alexander. Knots with compressible thin levels. Algebr. Geom. Topol. 15 (2015), no. 3, 1691--1715. doi:10.2140/agt.2015.15.1691. https://projecteuclid.org/euclid.agt/1510840972


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