A Markov's theorem for extended welded braids and links

2017/05/16 by Céleste Damiani, Damiani, Celeste
Mathematics · #20F36 #57Q45 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · doi:10.48550/arxiv.1705.05580

openalex publication_date 2017/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Extended welded links are a generalization of Fenn, Rimányi, and Rourke's welded links. Their braided counterpart are extended welded braids, which are closely related to ribbon braids and loop braids. In this paper we prove versions of Alexander and Markov's theorems for extended welded braids and links, following Kamada's approach to the case of welded objects.

Citations

• On Basis-Conjugating Automorphisms of Free Groups

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