Linking Number of Singular Links and the Seifert Matrix
Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 390-398
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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.
Hebda, James J.; Hsieh, Chun-Chung; Tsau, Chichen M. Linking Number of Singular Links and the Seifert Matrix. Canadian mathematical bulletin, Tome 50 (2007) no. 3, pp. 390-398. doi: 10.4153/CMB-2007-037-8
@article{10_4153_CMB_2007_037_8,
author = {Hebda, James J. and Hsieh, Chun-Chung and Tsau, Chichen M.},
title = {Linking {Number} of {Singular} {Links} and the {Seifert} {Matrix}},
journal = {Canadian mathematical bulletin},
pages = {390--398},
year = {2007},
volume = {50},
number = {3},
doi = {10.4153/CMB-2007-037-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-037-8/}
}
TY - JOUR AU - Hebda, James J. AU - Hsieh, Chun-Chung AU - Tsau, Chichen M. TI - Linking Number of Singular Links and the Seifert Matrix JO - Canadian mathematical bulletin PY - 2007 SP - 390 EP - 398 VL - 50 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-037-8/ DO - 10.4153/CMB-2007-037-8 ID - 10_4153_CMB_2007_037_8 ER -
%0 Journal Article %A Hebda, James J. %A Hsieh, Chun-Chung %A Tsau, Chichen M. %T Linking Number of Singular Links and the Seifert Matrix %J Canadian mathematical bulletin %D 2007 %P 390-398 %V 50 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-037-8/ %R 10.4153/CMB-2007-037-8 %F 10_4153_CMB_2007_037_8
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