Bull. Korean Math. Soc. 1998; 35(2): 235-258
Printed June 1, 1998
Copyright © The Korean Mathematical Society.
Youn W. Lee
University of Wisconsin-Parkside
We define a crossing of a link without referring to a specific projection of the link\ and describe a construction of a non-normalized Alexander polynomial associated to collections of such crossings of oriented links under an equivalence relation, called homology relation. The polynomial is computed from a special Seifert surface of the link. We prove that the polynomial is well-defined for the homology equivalence classes, investigate its relationship with the combinatorially defined Alexander polynomials and study some of its properties.
Keywords: link crossing, Alexander polynomial, Seifert matrix
MSC numbers: Primary 57M25
2014; 51(2): 539-545
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