ON DOUBLE-TORUS KNOTS (II)-Reference-Cited by-同舟云学术

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ON DOUBLE-TORUS KNOTS (II)

Published:2000-08 Issue:05 Volume:09 Page:617-667
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HILL PETER¹,MURASUGI KUNIO¹

Affiliation:

1. Department of Mathematics, University of Toronto, Toronto, ON M5S 3G3, Canada

Abstract

A double-torus knot is a knot embedded in a genus two Heegaard surface [Formula: see text] in S3. We consider double-torus knots L such that [Formula: see text] is connected, and consider fibred knots in various classes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216500000359

Reference17 articles.

1. ON DOUBLE-TORUS KNOTS (I)

2. On unknotting tunnels for knots

3. Band-sums are ribbon concordant to the connected sum

4. On the Alexander Polynomial

5. Every two-generator knot is prime

Cited by 10 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. DAHA and skein algebra of surfaces: double-torus knots;Letters in Mathematical Physics;2019-06-13

2. Twisted Torus Knots That Are Unknotted;International Mathematics Research Notices;2013-06-10

3. KNOTS WITH DISTINCT PRIMITIVE/PRIMITIVE AND PRIMITIVE/SEIFERT REPRESENTATIVES;Journal of Knot Theory and Its Ramifications;2012-01

4. Knots yielding homeomorphic lens spaces by Dehn surgery;Pacific Journal of Mathematics;2010-01-01

5. On diagrammatic bounds of knot volumes and spectral invariants;Geometriae Dedicata;2009-12-05

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