UPPER BOUNDS FOR THE COMPLEXITY OF TORUS KNOT COMPLEMENTS-Reference-Cited by-同舟云学术

UPPER BOUNDS FOR THE COMPLEXITY OF TORUS KNOT COMPLEMENTS

Published:2013-09 Issue:10 Volume:22 Page:1350053
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

FOMINYKH EVGENY¹²,WIEST BERT³

Affiliation:

1. Department of Mathematics, Chelyabinsk State University, Brat'ev Kashirinykh Street 129, Chelyabinsk 454001, Russia

2. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, S. Kovalevskaja Street 16, Ekaterinburg 620990, Russia

3. UFR Mathématiques, Université de Rennes 1, 35042 Rennes Cedex, France

Abstract

We establish upper bounds for the complexity of Seifert fibered manifolds with nonempty boundary. In particular, we obtain potentially sharp bounds on the complexity of torus knot complements.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216513500533

Reference14 articles.

1. Exact Values of Complexity for an Infinite Number of 3-Manifolds

2. Geodesic and Horocyclic Trajectories

3. Complexity and Heegaard genus of an infinite class of compact 3-manifolds

4. Dehn Filling of Cusped Hyperbolic 3-Manifolds with Geodesic Boundary

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