title: Quantum invariant
text: # 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
  