Hyperbolic alternating virtual link groups (Q763710)
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scientific article; zbMATH DE number 6019680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic alternating virtual link groups |
scientific article; zbMATH DE number 6019680 |
Statements
Hyperbolic alternating virtual link groups (English)
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29 March 2012
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The article under review studies the geometry of certain link complements. The author identifies two types of forbidden tangles and proves that if a prime, alternating link projection does not contain either of those two tangles then the fundamental group \(G\) of the complement is the fundamental group of a finite, piecewise Euclidean 2-complex of nonpositive curvature. If one assumes that the link projection is dense, then \(G\) is shown to be hyperbolic.
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alternating virtual knot
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hyperbolic group
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Wirtinger complex
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non-positively curved square complex
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