Книга: Quantum Invariant: Jones Polynomial, Topological Quantum Field Theory, Path Integral Formulation, Topological Property, Monoidal Functor, Quantum Group, Von Neumann Algebra

High Quality Content by WIKIPEDIA articles! Quantum invariant is a linear sum of colored Jones polynomial of surgery presentations, basically, a topological field theory. Reshetikhin and Turaev gave the first rigorous construction of quantum invariant, it was a linear sum of quantum invariants of framed links. Witten then proposed quantum invariant as topological invariants of a closed 3-manifold for a simple compact Lie group which is formally presented by a path integral whose Lagrangian is the Chern-Simons functional of the Lie group connections on 3-manifold.