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Proceedings of the American Mathematical Society

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On the free genus of knots

Author: Yoav Moriah
Journal: Proc. Amer. Math. Soc. 99 (1987), 373-379
MSC: Primary 57M25
MathSciNet review: 870804
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Abstract: The class of knots consisting of twisted Whitehead doubles can have arbitrarily large free genus but all have genus 1.

References [Enhancements On Off] (What's this?)

  • [1] Rob Kirby, Problems in low dimensional manifold theory, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 273–312. MR 520548
  • [2] Dale Rolfsen, Knots and links, Publish or Perish, Inc., Berkeley, Calif., 1976. Mathematics Lecture Series, No. 7. MR 0515288
  • [3] Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory, Springer-Verlag, Berlin-New York, 1977. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89. MR 0577064

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Article copyright: © Copyright 1987 American Mathematical Society