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2005 Knots on a positive template have a bounded number of prime factors
Michael C Sullivan
Algebr. Geom. Topol. 5(2): 563-576 (2005). DOI: 10.2140/agt.2005.5.563

Abstract

Templates are branched 2–manifolds with semi-flows used to model “chaotic” hyperbolic invariant sets of flows on 3–manifolds. Knotted orbits on a template correspond to those in the original flow. Birman and Williams conjectured that for any given template the number of prime factors of the knots realized would be bounded. We prove a special case when the template is positive; the general case is now known to be false.

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Michael C Sullivan. "Knots on a positive template have a bounded number of prime factors." Algebr. Geom. Topol. 5 (2) 563 - 576, 2005. https://doi.org/10.2140/agt.2005.5.563

Information

Received: 1 February 2005; Accepted: 31 May 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1090.37023
MathSciNet: MR2153116
Digital Object Identifier: 10.2140/agt.2005.5.563

Subjects:
Primary: 37D45
Secondary: 57M25

Rights: Copyright © 2005 Mathematical Sciences Publishers

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