Quantum invariant
# Quantum invariant

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.

## 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 invariants
* Gromov–Witten invariant
* Arf invariant
* Hopf invariant
