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2020 The $L$-move and Markov theorems for trivalent braids
Carmen Caprau, Gabriel Coloma, Marguerite Davis
Involve 13(1): 21-50 (2020). DOI: 10.2140/involve.2020.13.21

Abstract

The L -move for classical braids extends naturally to trivalent braids. We follow the L -move approach to the Markov theorem to prove a one-move Markov-type theorem for trivalent braids. We also reformulate this L -move Markov theorem and prove a more algebraic Markov-type theorem for trivalent braids. Along the way, we provide a proof of the Alexander theorem analogue for spatial trivalent graphs and trivalent braids.

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Carmen Caprau. Gabriel Coloma. Marguerite Davis. "The $L$-move and Markov theorems for trivalent braids." Involve 13 (1) 21 - 50, 2020. https://doi.org/10.2140/involve.2020.13.21

Information

Received: 20 July 2018; Accepted: 28 December 2019; Published: 2020
First available in Project Euclid: 20 March 2020

zbMATH: 07172110
MathSciNet: MR4059940
Digital Object Identifier: 10.2140/involve.2020.13.21

Subjects:
Primary: 57M15, 57M25
Secondary: 20F36

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 1 • 2020
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