From Wikipedia, the free encyclopedia
Concept in mathematical knot theory
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]
^
a
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MR
1091619 .
^
Kontsevich, Maxim (1993). "Vassiliev's knot invariants". Adv. Soviet Math . 16 : 137.
^
Watanabe, Tadayuki (2007).
"Knotted trivalent graphs and construction of the LMO invariant from triangulations" . Osaka J. Math . 44 (2): 351. Retrieved 4 December 2012 .
^
Letzter, Gail (2004). "Invariant differential operators for quantum symmetric spaces, II".
arXiv :
math/0406194 .
^ Sawon, Justin (2000). "Topological quantum field theory and hyperkähler geometry".
arXiv :
math/0009222 .
^ Petit, Jerome (1999).
"The invariant of Turaev-Viro from Group category" (PDF) . hal.archives-ouvertes.fr. Retrieved 2019-11-04 .
^ Lawton, Sean (June 28, 2007).
"Generators of
SL
(
2
,
C
)
{\displaystyle \operatorname {SL} (2,\mathbb {C} )}
-Character Varieties of Arbitrary Rank Free Groups" (PDF) . The 7th KAIST Geometric Topology Fair . Archived from
the original (PDF) on 20 July 2007. Retrieved 13 January 2022 .