Proceedings of the American Mathematical Society

Author(s): Chichen M. Tsau
Journal: Proc. Amer. Math. Soc. 129 (2001), 2497-2502.
MSC (2000): Primary 57M25
Posted: January 18, 2001
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Abstract: We show that two isotopic oriented 4-valent singular link diagrams with transverse intersections are regularly isotopic if and only if they have the same writhe and the same rotation number.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 57M25

Chichen M. Tsau
Affiliation: Department of Mathematics and Mathematical Computer Science, Saint Louis University, St. Louis, Missouri 63103
Email: tsaumc@slu.edu

DOI: 10.1090/S0002-9939-01-06046-4
PII: S 0002-9939(01)06046-4
Keywords: Singular link, diagram, generalized Reidemeister moves, writhe, rotation number, regular isotopy
Received by editor(s): December 13, 1999
Posted: January 18, 2001
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2001, American Mathematical Society

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