Quantum invariant

Updated on Apr 25, 2026

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25 04 2016 a slepcov quantum invariants of knots and their properties

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.

13 05 2015 ph korablev quantum invariants of knots

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 invariant

Gromov–Witten invariant

Arf invariant

Hopf invariant

References

Quantum invariant Wikipedia

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25 04 2016 a slepcov quantum invariants of knots and their properties

Contents

13 05 2015 ph korablev quantum invariants of knots

List of invariants

References