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• Whitehead link (category Links (knot theory))
  five structural crossings In knot theory, the Whitehead link, named for J. H. C. Whitehead, is one of the most basic links. It can be drawn as an alternating
  6 KB (622 words) - 16:01, 6 February 2024
• L10a140 link (category Links (knot theory))
  form L10a140 in pseudo 4-symmetric form "L10a140", The Knot Atlas. Adams, Colin C. (1994). The Knot Book,[page needed]. American Mathematical Society. ISBN
  6 KB (831 words) - 17:40, 6 February 2024
• Quadrisecant (category Knot theory) (section Knots and links)
  Quadrisecants have been studied for curves of several types: Knots and links in knot theory, when nontrivial, always have quadrisecants, and the existence
  17 KB (2,017 words) - 21:31, 6 February 2024
• Topology (category Articles with Curlie links)
  being related to, among other things, knot theory, the theory of four-manifolds in algebraic topology, and to the theory of moduli spaces in algebraic geometry
  35 KB (4,033 words) - 17:48, 6 February 2024
• Knot theory (category Knot theory) (section Knot equivalence)
  are only the tip of the iceberg of modern knot theory. Main page: Knot polynomial A knot polynomial is a knot invariant that is a polynomial. Well-known
  48 KB (6,198 words) - 19:12, 6 February 2024
• Link (knot theory) (section Tangles, string links, and braids)
  linked (or knotted) together. A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory
  8 KB (1,104 words) - 22:45, 6 February 2024
• Braid group (redirect from Braid theory) (category Knot theory) (section Connection to knot theory)
  § Introduction). Example applications of braid groups include knot theory, where any knot may be represented as the closure of certain braids (a result
  36 KB (4,579 words) - 15:02, 6 February 2024
• Graph theory (category Graph theory)
  graph theory Geometric graph theory Extremal graph theory Probabilistic graph theory Topological graph theory Combinatorics Group theory Knot theory Ramsey
  52 KB (6,469 words) - 19:45, 8 February 2024
• Jones polynomial (category Knot theory) (section Link with Chern–Simons theory)
  alternating links". Journal of Knot Theory and Its Ramifications 19 (11): 1487–1505. doi:10.1142/s0218216510008510.  Murasugi, Kunio (1996). Knot theory and its
  17 KB (2,344 words) - 19:41, 6 February 2024
• Low-dimensional topology (section Knot and braid theory)
  such as knot theory, geometric group theory, hyperbolic geometry, number theory, Teichmüller theory, topological quantum field theory, gauge theory, Floer
  19 KB (2,386 words) - 15:18, 6 February 2024
• Mathematical diagram (section Knot diagrams)
  varying appearances. In Knot theory a useful way to visualise and manipulate knots is to project the knot onto a plane—;think of the knot casting a shadow on
  14 KB (1,566 words) - 21:29, 6 February 2024
• Knot invariant (category Knot invariants)
  description: Function of a knot that takes the same value for equivalent knots In the mathematical field of knot theory, a knot invariant is a quantity (in
  10 KB (1,266 words) - 00:08, 7 February 2024
• Knot complement (category Knot theory)
  Complement of a knot in three-sphere In mathematics, the knot complement of a tame knot K is the space where the knot is not. If a knot is embedded in the
  3 KB (284 words) - 17:35, 6 February 2024
• Borromean rings (category 6 crossing number knots and links) (section Number theory)
  infinitely many Brunnian links with three links, the Borromean rings are the only one that can be formed from three convex curves. In knot theory, the ropelength
  42 KB (4,468 words) - 20:52, 8 February 2024
• Figure-eight knot (mathematics) (category 1 Arf invariant knots and links)
  description: Unique knot with a crossing number of four In knot theory, a figure-eight knot (also called Listing's knot) is the unique knot with a crossing
  9 KB (986 words) - 18:54, 6 February 2024
• Prime knot (category Knot invariants)
  description: Non-trivial knot which cannot be written as the knot sum of two non-trivial knots In knot theory, a prime knot or prime link is a knot that is, in a
  3 KB (288 words) - 21:40, 6 February 2024
• Alternating knot (category Knot invariants)
  percentage of knots that are alternating goes to 0 exponentially quickly. Alternating links end up having an important role in knot theory and 3-manifold
  6 KB (693 words) - 16:41, 6 February 2024
• Alexander polynomial (category Knot theory)
  (1963). Introduction to Knot Theory. Ginn and Co. after 1977 Springer Verlag.  Fox, Ralph (1961). "A quick trip through knot theory". in Fort, M.K.. Proceedings
  17 KB (2,507 words) - 19:35, 6 February 2024
• Hyperbolic link (redirect from Hyperbolic knot) (category Hyperbolic knots and links)
  William Menasco. 41 knot (the figure-eight knot) 52 knot (the three-twist knot) 61 knot (the stevedore knot) 62 knot 63 knot 74 knot 10 161 knot (the "Perko pair"
  2 KB (228 words) - 15:55, 6 February 2024
• Crossing number (knot theory) (category Knot invariants)
  Integer-valued knot invariant; least number of crossings in a knot diagram In the mathematical area of knot theory, the crossing number of a knot is the smallest
  5 KB (565 words) - 22:45, 6 February 2024

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