2020
DOI: 10.1016/j.topol.2020.107124
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On the Alexander polynomial of lens space knots

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Cited by 5 publications
(22 citation statements)
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“…The essential part is whether Y p; k is homeomorphic to S 3 , if the third term of D K p; k is non-zero. Notice that in [8] the author proved that k ¼ 2 holds if and only if Y p; k is homeomorphic to S 3 and K p; k is isotopic to Tð2; 2g þ 1Þ for some integer g. This condition is also equivalent to the equality D K p; k ðtÞ ¼ D Tð2; 2gþ1Þ ðtÞ.…”
Section: 22mentioning
confidence: 99%
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“…The essential part is whether Y p; k is homeomorphic to S 3 , if the third term of D K p; k is non-zero. Notice that in [8] the author proved that k ¼ 2 holds if and only if Y p; k is homeomorphic to S 3 and K p; k is isotopic to Tð2; 2g þ 1Þ for some integer g. This condition is also equivalent to the equality D K p; k ðtÞ ¼ D Tð2; 2gþ1Þ ðtÞ.…”
Section: 22mentioning
confidence: 99%
“…In [8,Theorem 1.15] gave a criterion for a lens space knot K to satisfy D K ðtÞ ¼ D Tð2; 2gþ1Þ ðtÞ for some positive integer g. We can also say that Theorem 1 gives a new criterion for a lens space knot to have the same Alexander polynomial as that of Tð2; 2g þ 1Þ.…”
Section: Main Question and Theoremmentioning
confidence: 99%
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