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oriented link in nLab

Context

Knot theory

knot theory

knot, link

Examples/classes:

Types

knot invariants

link invariants

Related concepts:

Contents

Idea

In knot theory, an oriented link (in particular: oriented knot) is a link L:(S 1) ⊔ n→XL \,\colon\, (S^1)^{\sqcup^n} \to X (e.g. a knot K:S 1→XK \colon S^1 \to X) equipped with an orientation on all the domain circles.

References

  • Tomotada Ohtsuki, pp. 5 in: Quantum Invariants – A Study of Knots, 3-Manifolds, and Their Sets, World Scientific (2001) [doi:10.1142/4746]

  • Corinne Cerf: Atlas of oriented knots and links, Topology Atlas 31 [web]

Last revised on July 17, 2024 at 16:35:48. See the history of this page for a list of all contributions to it.