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Regular-equivalence of 2-knot diagrams and sphere eversions
Published online by Cambridge University Press: 05 May 2016
Abstract
For each diagram D of a 2-knot, we provide a way to construct a new diagram D′ of the same knot such that any sequence of Roseman moves between D and D′ necessarily involves branch points. The proof is done by developing the observation that no sphere eversion can be lifted to an isotopy in 4-space.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 161 , Issue 2 , September 2016 , pp. 237 - 246
- Copyright
- Copyright © Cambridge Philosophical Society 2016
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