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FIBRED KNOTS AND TWISTED ALEXANDER INVARIANTS SCIE SCOPUS
- Title
- FIBRED KNOTS AND TWISTED ALEXANDER INVARIANTS
- Authors
- Cha, JC
- Date Issued
- 2003-01
- Publisher
- AMER MATHEMATICAL SOC
- Abstract
- We study the twisted Alexander invariants of fibred knots. We establish necessary conditions on the twisted Alexander invariants for a knot to be fibred, and develop a practical method to compute the twisted Alexander invariants from the homotopy type of a monodromy. It is illustrated that the twisted Alexander invariants carry more information on fibredness than the classical Alexander invariants, even for knots with trivial Alexander polynomials.
- ISSN
- 0002-9947
- Article Type
- Article
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol. 355, no. 10, page. 4187 - 4200, 2003-01
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Related Researcher
- 차재춘CHA, JAE CHOON
- Dept of Mathematics