2013年
A Remark on the Alexander Polynomial Criterion for the Bi-orderability of Fibered 3-manifold Groups
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
- 巻
- 2013
- 号
- 1
- 開始ページ
- 156
- 終了ページ
- 169
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1093/imrn/rnr264
- 出版者・発行元
- OXFORD UNIV PRESS
By studying the maximal ordered abelian quotient of bi-ordered groups, we show that Clay-Rolfsen's obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened using the twisted Alexander polynomials for a Q-linear representation having a finite image. This contrasts with many known applications of the Alexander polynomial.
- リンク情報
- ID情報
-
- DOI : 10.1093/imrn/rnr264
- ISSN : 1073-7928
- Web of Science ID : WOS:000312653500004