تسجيل الدخول

تسجيل

Twist Knot

المؤلف:  Casson, J. and Gordon, C. M.

المصدر:  "Cobordism of Classical Knots." Preprint of Lecture. Orsay. 1975.

الجزء والصفحة:  ...

26-6-2021

2168

Twist Knot

Given a doubled knot with the unknot taken as the base knot , the companion knot  of  is called a twist knot with  twists. As illustrated above, the following knots are twist knots (Rolfsen 1976, p. 112).

	knot
	trefoil knot
1	figure eight knot
2	stevedore's knot

The unknot and stevedore's knot are the only twist knots that are slice knots (Casson and Gordon 1975; Rolfsen 1976, p. 226).

---

REFERENCES:

Casson, J. and Gordon, C. M. "Cobordism of Classical Knots." Preprint of Lecture. Orsay. 1975.

Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 112, 1976.