A Note on a Map from Knots to 2-Knots

2016/04/22 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Mathematics · Medicine · #57M25 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1604.06597

openalex publication_date 2016/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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