ON CANONICAL GENUS AND FREE GENUS OF KNOT-Reference-Cited by-同舟云学术

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ON CANONICAL GENUS AND FREE GENUS OF KNOT

Published:1996-02 Issue:01 Volume:05 Page:77-85
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KOBAYASHI MASAKO¹,KOBAYASHI TSUYOSHI²

Affiliation:

1. Department of Mahematics, Osaka City University, Sugimoto Sumiyoshi-ku, Osaka 558, Japan

2. Department of Mathematics, Nara Women’s University, Kitauoya-Nishimachi, Nara 630, Japan

Abstract

We show that the differences between canonical genus and free genus, and differences between free genus and usual genus of a knot can be arbitrarily large.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216596000060

Cited by 19 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. Upper and lower bounds on delta-crossing number and tabulation of knots up to four delta-crossings;Asian-European Journal of Mathematics;2023-01-30

2. Crossing number of an alternating knot and canonical genus of its whitehead double;Topology and its Applications;2021-09

3. BANDED SURFACES, BANDED LINKS, BAND INDICES AND GENERA OF LINKS;Journal of Knot Theory and Its Ramifications;2013-06

4. SOME COROLLARIES OF MANTUROV'S PROJECTION THEOREM;Journal of Knot Theory and Its Ramifications;2013-01

5. The canonical genus for Whitehead doubles of a family of alternating knots;Topology and its Applications;2012-11

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