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quantum invariant
In the mathematical field of knot theory, a quantum invariant of a knot or link is a linear sum of colored Jones polynomial of surgery presentations of the knot complement.
==List of invariants==
*Finite type invariant
*Kontsevich invariant
*Kashaev's invariant
*Witten–Reshetikhin–Turaev invariant (Chern–Simons)
*Invariant differential operator
*Turaev–Viro invariant
*Dijkgraaf–Witten invariant 〔http://hal.archives-ouvertes.fr/docs/00/09/02/99/PDF/equality_arxiv_1.pdf〕
*Reshetikhin–Turaev invariant
*Tau-invariant
*I-Invariant
*Klein J-invariant
*Quantum isotopy invariant 〔http://knot.kaist.ac.kr/7thkgtf/Lawton1.pdf〕
*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 〔(Invariants of 3-manifolds via link polynomials and quantum groups - Springer )〕
*Casson invariant
*Seiberg–Witten invariant
*Gromov–Witten invariant
*Arf invariant
*Hopf invariant
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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