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A Note on a Map from Knots to $2$-Knots

Authors
  • Manturov, Vassily Olegovich
Type
Preprint
Publication Date
Apr 22, 2016
Submission Date
Apr 22, 2016
Identifiers
arXiv ID: 1604.06597
Source
arXiv
License
Yellow
External links

Abstract

We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural "knot" counterpart for "braid" theory of groups $G_{n}^{k}$.

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