Quantum invariant

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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. [1] [2] [3]

Contents

List of invariants

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References

  1. Reshetikhin, N. & Turaev, V. (1991). "Invariants of 3-manifolds via link polynomials and quantum groups". Invent. Math. 103 (1): 547. Bibcode:1991InMat.103..547R. doi:10.1007/BF01239527. S2CID   123376541.
  2. Kontsevich, Maxim (1993). "Vassiliev's knot invariants". Adv. Soviet Math. 16: 137.
  3. Watanabe, Tadayuki (2007). "Knotted trivalent graphs and construction of the LMO invariant from triangulations". Osaka J. Math. 44 (2): 351. Retrieved 4 December 2012.
  4. Letzter, Gail (2004). "Invariant differential operators for quantum symmetric spaces, II". arXiv: math/0406194 .
  5. Sawon, Justin (2000). "Topological quantum field theory and hyperkähler geometry". arXiv: math/0009222 .
  6. "Data" (PDF). hal.archives-ouvertes.fr. 1999. Retrieved 2019-11-04.
  7. "Invariants of 3-manifolds via link polynomials and quantum groups - Springer". doi:10.1007/BF01239527. S2CID   123376541.Cite journal requires |journal= (help)

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