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Applications of the Casson-Walker invariant to the knot complement and the cosmetic crossing conjectures

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 نشر من قبل Tetsuya Ito
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف Tetsuya Ito




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We give a rational surgery formula for the Casson-Walker invariant of a 2-component link in $S^{3}$ which is a generalization of Matveev-Polyaks formula. As application, we give more examples of non-hyperbolic L-space $M$ such that knots in $M$ are determined by their complements. We also apply the result for the cosmetic crossing conjecture.

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