The Geometry of the Virtual knots

Rachel Elizabeth Byrd · Scientific Transactions in Environment and Technovation · 2021

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Type: article
Published: 2021-06-10
Cited by: 4
References: 19
Access: Open access
DOI: https://doi.org/10.56343/stet.116.015.003.006
OpenAlex: https://openalex.org/W77990080
Semantic Scholar: https://api.semanticscholar.org/CorpusID:115461458

Keywords

Geometry, Computer science, Mathematics, Computer graphics (images)

References

INTRODUCTION TO VIRTUAL KNOT THEORYLouis H. Kauffman — 2011
Non-positively curved squared complexes aperiodic tilings and non-residually finite groupsDaniel T. Wise — 1996
On the Jones polynomials of checkerboard colorable virtual linksNaoko Kamada — 2002
GENERALIZED KNOT COMPLEMENTS AND SOME ASPHERICAL RIBBON DISC COMPLEMENTSJens Harlander, Stephan Rosebrock — 2003
ON DEHN'S LEMMA AND THE ASPHERICITY OF KNOTS.C. D. Papakyriakopoulos — 1957
ON DISTINGUISHING VIRTUAL KNOT GROUPS FROM KNOT GROUPSJens Harlander, Stephan Rosebrock — 2010
The word and conjugacy problems for the knot group of any tame, prime, alternating knotC. M. Weinbaum — 1971
The knot book: An elementary introduction to the mathematical theory of knotsR. C. Read — 1997
Metric Spaces of Non-Positive CurvatureMartin R. Bridson, André Haefliger — 1999
Virtual Knot TheoryLouis H. Kauffman — 1998
Asphericity of Alternating KnotsRobert J. Aumann — 1956
On Adding Relations to Homotopy GroupsJ. H. C. Whitehead — 1941
Algebraic topologyAllen Hatcher — 2001
Reducible Diagrams and Equations Over GroupsS. Gersten — 1987
Algebraic topologyLen Evens, R. Thompson — 2020

Cited by

ON THE DEHN COMPLEX OF VIRTUAL LINKSRachel Elizabeth Byrd, Jens Harlander — 2013
Parities for virtual braids and string linksRobin Gaudreau — 2016
Group presentations for links in thickened surfacesDaniel S. Silver, Susan Williams — 2020
Core groupsDaniel S. Silver, Lorenzo Traldi, Susan G. Williams — 2023

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