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2005 Signed ordered knotlike quandle presentations
Sam Nelson
Algebr. Geom. Topol. 5(2): 443-462 (2005). DOI: 10.2140/agt.2005.5.443

Abstract

We define enhanced presentations of quandles via generators and relations with additional information comprising signed operations and an order structure on the set of generators. Such a presentation determines a virtual link diagram up to virtual moves. We list formal Reidemeister moves in which Tietze moves on the presented quandle are accompanied by corresponding changes to the order structure. Omitting the order structure corresponds to replacing virtual isotopy by welded isotopy.

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Sam Nelson. "Signed ordered knotlike quandle presentations." Algebr. Geom. Topol. 5 (2) 443 - 462, 2005. https://doi.org/10.2140/agt.2005.5.443

Information

Received: 14 September 2004; Revised: 29 March 2005; Accepted: 8 April 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1085.57006
MathSciNet: MR2153120
Digital Object Identifier: 10.2140/agt.2005.5.443

Subjects:
Primary: 57M25, 57M27
Secondary: 20F05

Rights: Copyright © 2005 Mathematical Sciences Publishers

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