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knotkit

knot theory and computational algebra software. knotkit is a C++ software package written by Cotton Seed for computing some knot and manifold invariants appearing in low-dimensional topology.

Keywords for this software

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  • Khovanov homology
  • splitting number
  • periodic links
  • slice genus
  • semigroup of a singular point
  • Khovanov-Rozansky homologies
  • cobordism map
  • links
  • filtered complex
  • Jones polynomial
  • equivariant Khovanov homology
  • Rasmussen-Beliakova-Wehrli invariant
  • surgery
  • Bennequin-type inequality
  • (L)-space link
  • Rasmussen invariants
  • spectral sequence
  • Steenrod square
  • Hilbert function
  • link detection
  • equivariant Jones polynomial
  • Pretzel knots
  • slice-torus invariants
  • gauge transformation
  • Frobenius algebra
  • Rasmussen invariant
  • Bar-Natan complex
  • bigraded groups
  • cohomology operation
  • lens space surgery

  • URL: github.com/cseed/knotkit
  • Code
  • InternetArchive
  • Authors: C. Seed

  • Add information on this software.


  • Related software:
  • GitHub
  • SnapPy
  • Knot Atlas
  • Knotscape
  • khoca
  • FoamHo
  • MathOverflow
  • SageMath

References in zbMATH (referenced in 9 articles )

Showing results 1 to 9 of 9.
y Sorted by year (citations)

  1. Borodzik, Maciej; Politarczyk, Wojciech: Khovanov homology and periodic links (2021)
  2. Borodzik, Maciej; Politarczyk, Wojciech; Silvero, Marithania: Khovanov homotopy type, periodic links and localizations (2021)
  3. Collari, Carlo: A Bennequin-type inequality and combinatorial bounds (2019)
  4. Borodzik, Maciej; Gorsky, Eugene: Immersed concordance of links and Heegaard Floer homology (2018)
  5. Hedden, Matthew; Watson, Liam: On the geography and botany of knot Floer homology (2018)
  6. Politarczyk, Wojciech: Equivariant Jones polynomials of periodic links (2017)
  7. Batson, Joshua; Seed, Cotton: A link-splitting spectral sequence in Khovanov homology (2015)
  8. Lewark, Lukas: Rasmussen’s spectral sequences and the (\mathfraksl_N)-concordance invariants (2014)
  9. Lipshitz, Robert; Sarkar, Sucharit: A refinement of Rasmussen’s (s)-invariant (2014)

  • Article statistics & filter:

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  • MSC classification / top
    • Top MSC classes
      • 14 Algebraic geometry
      • 55 Algebraic topology
      • 57 Manifolds and cell...

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