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Sharp-unknotting Number of a Torus Knot

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We give an estimation for the sharp-unknotting number of certain types of torus knots, and decide it for 39 torus knots.

Abstract

We give an estimation for the sharp-unknotting number of certain types of torus knots, and decide it for 39 torus knots.

참고문헌 (8)

  1. C. McA. Gordon, "Signatures of covering links", Canad. J. Math, 33, pp.381~415 (1981)
  2. P. Kromheimer, "Gauge theory for embedded surfaces I", Topology, 32(1995), pp.773~826 (1993)
  3. H. Murakami, "Some metrics on classical knots", Math. Ann, 270, pp.35~45 (1985)
  4. H. Murakami, "Sharp-unknotting number and the Alexander module", Topology Appl, 52, pp.169~179 (1993)
  5. K. Murasugi, "On closed 3-braids", Mem. Amer. Math. Soc, (151) (1974)
  6. K. Murasugi, "Knot Theory and Its Applications" (1996), Birkhauser
  7. K. Nakamura, "Delta-unknotting number for knots", J. Knot Theory Rami cations, 7, pp.639~650 (1998)
  8. Y. Ohyama, "Twisting and unknotting operations", Rev. Mat. Univ. Complut. Madrid, 7, pp.289~305 (1994)

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