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Lens Surgeries along the n-twisted Whitehead Link

Teruhisa Kadokami|Noriko Maruyama|Masafumi Shimozawa
경북대학교 자연과학대학 수학과|2012.09|Kyungpook Mathematical Journal|제52권 제3호|pp. 245-264

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참고문헌

키워드

Reidemeister torsionAlexander polynomialDehn surgerylens spaceRolfsen move
주제분류수학

초록

We determine lens surgeries (i.e. Dehn surgery yielding a lens space) along the n-twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) n = 1 (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems.

Abstract

We determine lens surgeries (i.e. Dehn surgery yielding a lens space) along the n-twisted Whitehead link. To do so, we first give necessary conditions to yield a lens space from the Alexander polynomial of the link as: (1) n = 1 (i.e. the Whitehead link), and (2) one of surgery coefficients is 1, 2 or 3. Our interests are not only lens surgery itself but also how to apply the Alexander polynomial for this kind of problems.

참고문헌 (23)

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