THE NEXT SIMPLEST HYPERBOLIC KNOTS-Reference-Cited by-同舟云学术

THE NEXT SIMPLEST HYPERBOLIC KNOTS

Published:2004-11 Issue:07 Volume:13 Page:965-987
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

CHAMPANERKAR ABHIJIT¹,KOFMAN ILYA²,PATTERSON ERIC³

Affiliation:

1. Department of Mathematics, Barnard College, Columbia University, New York, NY 10027, USA

2. Department of Mathematics, Columbia University, New York, NY 10027, USA

3. Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637, USA

Abstract

We complete the project begun by Callahan, Dean and Weeks to identify all knots whose complements are in the SnapPea census of hyperbolic manifolds with seven or fewer tetrahedra. Many of these "simple" hyperbolic knots have high crossing number. We also compute their Jones polynomials.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821650400355X

Reference8 articles.

1. THE SIMPLEST HYPERBOLIC KNOTS

2. 4-Manifolds and Kirby Calculus

3. M. Hildebrand and J. Weeks, Computers and Mathematics (Cambridge, MA, 1989) (Springer, New York, 1989) pp. 53–59.

4. Word hyperbolic Dehn surgery

5. Geometrie invariants for 3-manifolds

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