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2013
Primitive/Seifert knots which are not twisted torus knot position
Primitive/Seifert knots which are not twisted torus knot position
호남수학회
강성모
논문정보
- Publisher
- 호남수학학술지
- Issue Date
- 2013-12-01
- Keywords
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- Volume
- 35
- Number
- 4
- Start Page
- 775
- End Page
- 791
- DOI
- ISSN
- 1225293X
Abstract
The twisted torus knots and the primitive/Seifert knots both lie on a genus 2 Heegaard surface of $S^3$. In [5], J. Dean used the twisted torus knots to provide an abundance of examples of primitive/Seifert knots. Also he showed that not all twisted torus knots are primitive/Seifert knots. In this paper, we study the other inclusion. In other words, it shows that not all primitive/Seifert knots are twisted torus knot position. In fact, we give infinitely many primitive/Seifert knots that are not twisted torus knot position.
- 전남대학교
- KCI
- 호남수학학술지
저자 정보
| 이름 | 소속 |
|---|---|
| 강성모 | 수학교육과 |