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KnotTheory

KnotTheory, Mathematica Package for calculation of knot invariants

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element

  • Khovanov homology
  • pillowcase
  • knots
  • cabling
  • (Q)-polynomial
  • models of random knots
  • Rasmussen (s)-invariant
  • positive knot type
  • Duflo isomorphism
  • holonomy perturbation
  • petal numbers
  • finite type invariants
  • über-crossing
  • Wheels
  • double branched cover
  • torsion
  • Gauss codes
  • quasi-alternating link
  • Kauffman polynomial
  • Thurston-Bennequin number
  • link concordance
  • character variety
  • SU(2) representations
  • Floer homology
  • crossing number
  • mutation
  • Jones polynomial
  • reaction-diffusion systems
  • Conway polynomial
  • periodic links

  • URL: katlas.math.toronto.ed...
  • InternetArchive
  • Authors: Bar-Natan
  • Dependencies: Mathematica

  • Add information on this software.


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References in zbMATH (referenced in 14 articles )

Showing results 1 to 14 of 14.
y Sorted by year (citations)

  1. Aboufattoum, Ayman; Elsakhawy, Elsyed A.; Istvan, Kyle; Qazaqzeh, Khaled: Kauffman polynomial of periodic knotted trivalent graphs (2018)
  2. Conant, J.; Manathunga, V. A.: The Conway polynomial and amphicheiral knots (2017)
  3. Even-Zohar, Chaim: Models of random knots (2017)
  4. Fukumoto, Yoshihiro; Kirk, Paul; Pinzón-Caicedo, Juanita: Traceless (SU(2)) representations of 2-stranded tangles (2017)
  5. Lowrance, Adam M.; Sazdanović, Radmila: Chromatic homology, Khovanov homology, and torsion (2017)
  6. Hayden, Kyle; Sabloff, Joshua M.: Positive knots and Lagrangian fillability (2015)
  7. Mastin, Matt: Links and planar diagram codes (2015)
  8. Qazaqzeh, Khaled; Chbili, Nafaa: A new obstruction of quasialternating links (2015)
  9. Rohwer, C. M.; Müller-Nedebock, K. K.: Operator formalism for topology-conserving crossing dynamics in planar knot diagrams (2015)
  10. Hedden, Matthew; Herald, Christopher M.; Kirk, Paul: The pillowcase and perturbations of traceless representations of knot groups (2014)
  11. Pardon, John: The link concordance invariant from Lee homology (2012)
  12. Stoimenow, Alexander; Tanaka, Toshifumi: Mutation and the colored Jones polynomial (2009)
  13. Ng, Lenhard: A Legendrian Thurston-Bennequin bound from Khovanov homology (2005)
  14. Bar-Natan, Dror; Le, Thang T. Q.; Thurston, Dylan P.: Two applications of elementary knot theory to Lie algebras and Vassiliev invariants (2003)

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  • MSC classification / top
    • Top MSC classes
      • 05 Combinatorics
      • 17 Nonassociative rings and...
      • 35 Partial differential...
      • 57 Manifolds and cell...
      • 60 Probability theory and...
    • Other MSC classes
      • 53 Differential geometry
      • 81 Quantum Theory
      • 82 Statistical mechanics,...

  • Publication year
    • 2010 - today
    • 2005 - 2009
    • 2000 - 2004
    • before 2000

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