The free genus of doubled knots
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- by Charles Livingston PDF
- Proc. Amer. Math. Soc. 104 (1988), 329-333 Request permission
Abstract:
The free genus of an untwisted doubled knot in ${S^3}$ can be arbitrarily large.References
- 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
- William S. Massey, Algebraic topology: an introduction, Graduate Texts in Mathematics, Vol. 56, Springer-Verlag, New York-Heidelberg, 1977. Reprint of the 1967 edition. MR 0448331
- Yoav Moriah, On the free genus of knots, Proc. Amer. Math. Soc. 99 (1987), no. 2, 373–379. MR 870804, DOI 10.1090/S0002-9939-1987-0870804-3
- Dale Rolfsen, Knots and links, Mathematics Lecture Series, No. 7, Publish or Perish, Inc., Berkeley, Calif., 1976. MR 0515288
Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 329-333
- MSC: Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958094-5
- MathSciNet review: 958094