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Quantum invariant

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25 04 2016 a slepcov quantum invariants of knots and their properties


In the mathematical field of knot theory, a quantum knot invariant or quantum invariant of a knot or link is a linear sum of colored Jones polynomial of surgery presentations of the knot complement.

Contents

13 05 2015 ph korablev quantum invariants of knots


List of invariants

  • Finite type invariant
  • Kontsevich invariant
  • Kashaev's invariant
  • Witten–Reshetikhin–Turaev invariant (Chern–Simons)
  • Invariant differential operator
  • Rozansky–Witten invariant
  • Vassiliev knot invariant
  • Dehn invariant
  • LMO invariant
  • Turaev–Viro invariant
  • Dijkgraaf–Witten invariant
  • Reshetikhin–Turaev invariant
  • Tau-invariant
  • I-Invariant
  • Klein J-invariant
  • Quantum isotopy invariant
  • Ermakov–Lewis invariant
  • Hermitian invariant
  • Goussarov–Habiro theory of finite-type invariant
  • Linear quantum invariant (orthogonal function invariant)
  • Murakami–Ohtsuki TQFT
  • Generalized Casson invariant
  • Casson-Walker invariant
  • Khovanov–Rozansky invariant
  • HOMFLY polynomial
  • K-theory invariants
  • Atiyah–Patodi–Singer eta invariant
  • Link invariant
  • Casson invariant
  • Seiberg–Witten invariant
  • Gromov–Witten invariant
  • Arf invariant
  • Hopf invariant
  • References

    Quantum invariant Wikipedia


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