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- Self-linking_number abstract "In knot theory, the self-linking number is an invariant of framed knots. It is related to the linking number of curves.A framing of a knot is a choice of a non-tangent vector at each point of the knot. Given a framed knot C, the self-linking number is defined to be the linking number of C with a new curve obtained by pushing points of C along the framing vectors.Given a Seifert surface for a knot, the associated Seifert framing is obtained by taking a tangent vector to the surface pointing inwards and perpendicular to the knot. The self-linking number obtained from a Seifert framing is always zero.The blackboard framing of a knot is the framing where each of the vectors points in the vertical (z) direction. The self-linking number obtained from the blackboard framing is called the Kauffman self-linking number of the knot. This is not a knot invariant because it is only well-defined up to regular isotopy.".
- Self-linking_number wikiPageID "12452932".
- Self-linking_number wikiPageLength "1740".
- Self-linking_number wikiPageOutDegree "10".
- Self-linking_number wikiPageRevisionID "702866816".
- Self-linking_number wikiPageWikiLink Category:Knot_invariants.
- Self-linking_number wikiPageWikiLink Knot_(mathematics).
- Self-linking_number wikiPageWikiLink Knot_invariant.
- Self-linking_number wikiPageWikiLink Knot_theory.
- Self-linking_number wikiPageWikiLink Linking_number.
- Self-linking_number wikiPageWikiLink Regular_isotopy.
- Self-linking_number wikiPageWikiLink Seifert_surface.
- Self-linking_number wikiPageWikiLinkText "Self-linking number".
- Self-linking_number wikiPageWikiLinkText "self-linking number".
- Self-linking_number wikiPageUsesTemplate Template:Citation.
- Self-linking_number wikiPageUsesTemplate Template:Citation_needed.
- Self-linking_number wikiPageUsesTemplate Template:Knot_theory.
- Self-linking_number wikiPageUsesTemplate Template:Knottheory-stub.
- Self-linking_number subject Category:Knot_invariants.
- Self-linking_number hypernym Invariant.
- Self-linking_number type Invariant.
- Self-linking_number comment "In knot theory, the self-linking number is an invariant of framed knots. It is related to the linking number of curves.A framing of a knot is a choice of a non-tangent vector at each point of the knot.".
- Self-linking_number label "Self-linking number".
- Self-linking_number sameAs Q7448138.
- Self-linking_number sameAs m.02w6mt_.
- Self-linking_number sameAs Q7448138.
- Self-linking_number wasDerivedFrom Self-linking_number?oldid=702866816.
- Self-linking_number isPrimaryTopicOf Self-linking_number.