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Linking Number of Singular Links and the Seifert Matrix

  Published:2007-09-01
 Printed: Sep 2007
  • James J. Hebda
  • Chun-Chung Hsieh
  • Chichen M. Tsau
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Abstract

We extend the notion of linking number of an ordinary link of two components to that of a singular link with transverse intersections in which case the linking number is a half-integer. We then apply it to simplify the construction of the Seifert matrix, and therefore the Alexander polynomial, in a natural way.
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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