On the signature of links
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This article is published in Topology.The article was published on 1970-08-01 and is currently open access. It has received 92 citations till now. The article focuses on the topics: Signature (logic).read more
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On the Khovanov and knot Floer homologies of quasi-alternating links
Ciprian Manolescu,Peter Ozsvath +1 more
TL;DR: In this article, it was shown that quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology, and their bigraded homology groups are determined by the signature of the link, together with the Euler characteristic of the respective homology (i.e. the Jones or the Alexander polynomial).
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Braid and Knot Theory in Dimension Four
TL;DR: Kamada et al. as discussed by the authors developed the theory of surface braids and applied it to study surface links and proved the generalized Alexander and Markov theorems in dimension four.
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Algebraic Invariants of Links
TL;DR: Abelian Covers: Links Homology and duality in Covers Determinantal Invariants The Maximal Abelian Cover Sublinks and Other Abelians Covers Twisted Polynomial Invariant Applications: Special Cases and Symmetries: Knot Modules Links with Two Components Symmetry Singularities of Plane Curves Free Covers, Nilpotent Quotients and Completion: Free CoVERS Nilpotient Quotient Algebraic Closure Disc Links as discussed by the authors
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Signature of links
TL;DR: In this article, it was shown that a(L) is a locally flat topological concordance invariant, and that r(L, r) is topologically invariant (no local flatness assumption).
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On a certain numerical invariant of link types
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Über Involutionen der 3-Sphäre
TL;DR: In this paper, a simple simplizial Abbildung in the Periode 2 is described, in which a 3-Sphare is konjugiert zu einer orthogonalen abbilding.
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Branched covering spaces and the quadratic forms of links, ii
R. H. Kyle,R. H. Fox +1 more
TL;DR: In this paper, a dualization of self-linking in the homology groups of a regular cell-complex has been proposed, where homology group is replaced by cohomology groups and self-linkings in the cohology groups by a product operation.