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On the ribbon
graphs of links in real projective space
Iain Moffatt and Johanna Strömberg
Vol. 9 (2016), No. 1, 133–153
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Abstract |
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Every link diagram can be represented as a signed ribbon graph. However, different link diagrams can be represented by the same ribbon graphs. We determine how checkerboard colourable diagrams of links in real projective space, and virtual link diagrams, that are represented by the same ribbon graphs are related to each other. We also find moves that relate the diagrams of links in real projective space that give rise to (all-) ribbon graphs with exactly one vertex. |
Keywords
ribbon graph, links in real projective space, Turaev
surface, virtual link, partial dual, Tait graph
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Mathematical Subject Classification 2010
Primary: 57M15
Secondary: 05C10
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Milestones
Received: 28 August 2014
Revised: 6 February 2015
Accepted: 6 February 2015
Published: 17 December 2015
Communicated by Józef H. Przytycki
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Authors |
| Iain Moffatt | |
| Department of Mathematics Royal Holloway University of London Egham, Surrey TW20 0EX United Kingdom |
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| Johanna Strömberg | |
| Department of Mathematics Royal Holloway University of London Egham, Surrey TW20 0EX United Kingdom |
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