2012年3月
On minimal elements for a partial order of prime knots
TOPOLOGY AND ITS APPLICATIONS
- 巻
- 159
- 号
- 4
- 開始ページ
- 1059
- 終了ページ
- 1063
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.topol.2011.11.022
- 出版者・発行元
- ELSEVIER SCIENCE BV
In this paper, applying Chebyshev polynomials we give a basic proof of the irreducibility over the complex number field of the defining polynomial of SL2(C)-character variety of twist knots in infinitely many cases. The irreducibility, combined with a result in the paper of M. Boileau, S. Boyer, A.W. Reid and S. Wang in 2010, shows the minimality of infinitely many twist knots for a partial order on the set of prime knots defined by using surjective group homomorphisms between knot groups. In Appendix B, we also give a straightforward proof of the result of Boileau et al. (C) 2011 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.topol.2011.11.022
- ISSN : 0166-8641
- eISSN : 1879-3207
- Web of Science ID : WOS:000300604500014