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http://dx.doi.org/10.5666/KMJ.2012.52.3.245

Lens Surgeries along the n-twisted Whitehead Link  

Kadokami, Teruhisa (Department of Mathematics, East China Normal University)
Maruyama, Noriko (Musashino Art University)
Shimozawa, Masafumi (Department of Mathematics, Tokyo Woman's Christian University)
Publication Information
Kyungpook Mathematical Journal / v.52, no.3, 2012 , pp. 245-264 More about this Journal
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.
Keywords
Dehn surgery; lens space; Reidemeister torsion; Alexander polynomial; Rolfsen move;
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