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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 257 - 271 (15page)
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초록· 키워드
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In this paper, we compute the trace field of $C(2,s)$, the complement of two component chain link with $s$ left half twists in $\mathbb{S}^{3}$, for every $s$. As a result, for every $n\in\mathbb{N}\setminus\{1\}$, we can find $s\in\mathbb{Z}$ such that the degree of the trace field of $C(2,s)$ is $n$. We also prove that if for fixed $p$, the degree of the trace field of $C(p,s)$ runs over $\mathbb{N}\setminus\{1\}$, then $p$ is contained in $\{1,2,4,8\}$.
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참고문헌 (4)
참고문헌 신청
J. Hoste / 2001 / Trace ¯elds of twist knot / J. Knot Theory and its Ramifications 10:625~639
C. Maclachlan / 2003 / The Arithmetic of Hyperbolic 3-Manifolds / Springer
K. Matsuzaki / 1998 / Hyperbolic Manifolds and Kleinian Groups / Oxford University Press
W. Neumann / 1990 / Arithmetic of hyperbolic manifolds / In Topology'90 :273~310
C. Maclachlan / 2003 / The Arithmetic of Hyperbolic 3-Manifolds / Springer
K. Matsuzaki / 1998 / Hyperbolic Manifolds and Kleinian Groups / Oxford University Press
W. Neumann / 1990 / Arithmetic of hyperbolic manifolds / In Topology'90 :273~310
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