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A generalization of several classical invariants of links - MaRDI portal

A generalization of several classical invariants of links (Q2465246)

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A generalization of several classical invariants of links
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    A generalization of several classical invariants of links (English)
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    9 January 2008
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    A quasi-cylinder over a commutative ring \(R\) is an oriented 3-manifold \(M\) endowed with a submodule \(V\) of the \(R\)-module \(H_1(\partial M;R)\) such that the inclusion homomorphism \(V\to H_1(M;R)\) is an isomorphism. The authors extend some classical invariants of links in the 3-sphere to links in so-called quasi-cylinders.
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    quasi-cylinder
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    linking number
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    Seifert form
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    Alexander module
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    Alexander-Conway polynomial
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    Murasugi-Tristram-Levine signature
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