紀要論文 BRANCHED TWIST SPINS AND KNOT DETERMINANTS

Fukuda, Mizuki

54 ( 4 )  , pp.679 - 688 , 2017-10 , Osaka University and Osaka City University, Departments of Mathematics
ISSN:00306126
NII書誌ID(NCID):AA00765910
内容記述
A branched twist spin is a generalization of twist spun knots, which appeared in the study of locally smooth circle actions on the 4-sphere due to Montgomery, Yang, Fintushel and Pao. In this paper, we give a sufficient condition to distinguish non-equivalent, non-trivial branched twist spins by using knot determinants. To prove the assertion, we give a presentation of the fundamental group of the complement of a branched twist spin, which generalizes a presentation of Plotnick, calculate the first elementary ideals and obtain the condition of the knot determinants by substituting −1 for the indeterminate.
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http://ir.library.osaka-u.ac.jp/repo/ouka/all/67007/ojm54_04_679.pdf

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