An infinite family of non-concordant knots having the same Seifert form
نویسندگان
چکیده
منابع مشابه
Infinite Family of Non-concordant Knots Having the Same Seifert Form
By a recent result of Livingston, it is known that if a knot has a prime power branched cyclic cover that is not a homology sphere, then there is an infinite family of nonconcordant knots having the same Seifert form as the knot. In this paper, we extend this result to the full extent. We show that if the knot has nontrivial Alexander polynomial, then there exists an infinite family of non-conc...
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In this paper we present a series of examples of new phenomena in the classical knot concordance group. First we show that for (almost) every Seifert form there is an infinite family of knots, distinct in concordance, having that form. Next we demonstrate that a number of results that are known to hold in higher dimensional concordance fail in the classical case. These include: (1) examples of ...
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In this paper we present a series of examples of new phenomena in the classical knot concordance group. First we show that for (almost) every Seifert form there is an infinite family of knots, distinct in concordance, having that form. Next we demonstrate that a number of results that are known to hold in higher dimensional concordance fail in the classical case. These include: (1) examples of ...
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ژورنال
عنوان ژورنال: Commentarii Mathematici Helvetici
سال: 2005
ISSN: 0010-2571
DOI: 10.4171/cmh/9