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TWO TYPES OF AMPHICHIRAL LINKS

MARK E. KIDWELL

Department of Mathematics, U.S. Naval Academy, Annapolis, MD 21402, USA

https://doi.org/10.1142/S0218216506004634Cited by:2 (Source: Crossref)

Abstract

A two-component link with nonzero even linking number cannot be equivalent to its mirror image by an orientation preserving map that sends each component to its own mirror image.

Keywords:

References

J. W. Alexander, Trans. Amer. Math. Soc. 30, 275 (1928). Crossref, Web of Science, Google Scholar
J. L. Bailey, Alexander polynomials of links, Ph.D. thesis, University of British Columbia (1977) . Google Scholar
J. H. Conway, Computational Problems in Abstract Algebra, ed. J. Leech (Pergamon Press, Oxford, 1970) pp. 329–358. Crossref, Google Scholar
R. Hartley, Comment. Math. Helv. 58, 365 (1983). Crossref, Web of Science, Google Scholar
J. Hoste, M. Thistlethwaite and J. Weeks, Math. Intelligencer 20, 33 (1998). Crossref, Web of Science, Google Scholar
J. Levine, Amer. J. Math. 89, 69 (1967). Crossref, Web of Science, Google Scholar
C. Liang, M. Mislow and E. Flapan, J. Knot Theory Ramifications 7, 87 (1998). Link, Web of Science, Google Scholar
C. Livingston, Amer. Math. Monthly 110, 361 (2003). Crossref, Web of Science, Google Scholar
D. Rolfsen , Knots and Links ( Publish or Perish , Berkeley , 1976 ) . Google Scholar
H. Seifert, Math. Ann. 110, 571 (1934). Crossref, Google Scholar
G. Torres, Ann. Math. 57, 57 (1953). Crossref, Web of Science, Google Scholar
L. Traldi, Trans. Amer. Math. Soc. 284, 401 (1984). Web of Science, Google Scholar