 |
|
Linking Number of Singular Links and the Seifert Matrix |
Canad. Math. Bull. 50(2007), 390-398
Published:2007-09-01
Printed: Sep 2007
Printed: Sep 2007
- James J. Hebda
- Chun-Chung Hsieh
- Chichen M. Tsau
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 - Knots and links in $S^3$ {For higher dimensions, see 57Q45} |