INTEGRAL NON-HYPERBOLIKE SURGERIES-Reference-Cited by-同舟云学术

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INTEGRAL NON-HYPERBOLIKE SURGERIES

Published:2008-03 Issue:03 Volume:17 Page:257-261
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

ICHIHARA KAZUHIRO¹

Affiliation:

1. College of General Education, Osaka Sangyo University, 3–1–1 Nakagaito, Daito, Osaka 574–8530, Japan

Abstract

It is shown that a hyperbolic knot in the 3-sphere admits at most nine integral surgeries yielding non-hyperbolike 3-manifolds; namely, 3-manifolds which are reducible or whose fundamental groups are not infinite word-hyperbolic.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216508006154

Reference12 articles.

1. Waist size for cusps in hyperbolic 3-manifolds

2. Hyperbolic Knots

3. Bounds on exceptional Dehn filling

4. S. Boyer, Handbook of Geometric Topology, ed. R. J. Daverman (Elsevier, Amsterdam, 2002) pp. 165–218.

5. The classification of exceptional Dehn surgeries on 2-bridge knots

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Waist size for cusps in hyperbolic 3-manifolds II;Geometriae Dedicata;2019-01-16

2. Exceptional surgeries on alternating knots;Communications in Analysis and Geometry;2016

3. Seifert Fibered Surgery and Rasmussen Invariant;Geometry and Topology Down Under;2013

4. All exceptional surgeries on alternating knots are integral surgeries;Algebraic & Geometric Topology;2008-11-26

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