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A generalization of several classical invariants of links. (English) Zbl 1148.57005
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.

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
Full Text: arXiv Euclid
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