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On the 2-Parallel Versions of Links

  Published:2000-06-01
 Printed: Jun 2000
  • Jae-Ho Chang
  • Sang Youl Lee
  • Chan-Young Park
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Abstract

In this paper, we show that the absolute value of the signature of the $2$-parallel version of a link is less than or equal to the nullity of it and show that the signature, nullity, and Minkowski units of the $2$-parallel version of a certain class of links are always equal to $0$, $2$, and $1$ respectively.
Keywords: braid, Goeritz matrix, Minkowski unit, nullity, signature, 2-parallel version braid, Goeritz matrix, Minkowski unit, nullity, signature, 2-parallel version
MSC Classifications: 57M25 show english descriptions Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
 

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