Reshetikhin–Turaev invariant

The Reshetikhin–Turaev invariant is a mathematical concept from the field of low-dimensional topology, particularly in the study of knots and 3-manifolds. Introduced by Nikolai Reshetikhin and Vladimir Turaev in the late 1980s, the invariant provides a way to associate algebraic structures to knots and 3-manifolds using representations of quantum groups and the theory of quantum invariants.