Signatures of covering links
By Jae Choon Cha, K. Ko. 2001
58 citations recorded by the source corpus.
The theory of signature invariants of links in rational homology spheres is applied to covering links of homology boundary links. From patterns and Seifert matrices of homology boundary links, an explicit formula is derived to compute signature invariants of their covering links. Using the formula, we produce fused boundary links that are positive mutants of ribbon links but are not concordant to boundary links. We also show that for any finite collection of patterns, there are homology boundary links that are not concordant to any homology boundary links admitting a pattern in the collection.
Subfields: Computer Graphics and Computer-Aided Design, Geometry and Topology, Mechanical Engineering
View Paper: https://www.semanticscholar.org/paper/016ffe341a59e1fb69e36b1615b30ab96adb7480
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In Computer Graphics and Computer-Aided Design
In Geometry and Topology
- Ciprian Manolescu
- Brendan Owens
- Jennifer Hom
- Peter S. Ozsv'ath
- Zolt'an Szab'o
- Ian Zemke
- A. Stipsicz
- I. Smith
In Mechanical Engineering
Citations in the corpus
- A concordance invariant from the Floer homology of double branched covers (2005, methodology): “Indeed, using the recurrence formulae for the signatures of torus knots in [8] we can easily compute σ(T (3, 6n ± 1)) = 8n.”