Algebraic and Geometric Topology 5 (2005),
paper no. 20, pages 443-462.
Signed ordered knotlike quandle presentations
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
Quandles, virtual knots, presentations, Reidemeister moves, welded isotopy
AMS subject classification.
Primary: 57M25, 57M27.
Secondary: 27M05, 20F05.
Submitted: 14 September 2004.
(Revised: 29 March 2005.)
Accepted: 8 April 2005.
Published: 26 May 2005.
Notes on file formats
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