The Jones-Witten invariant for flows on a 3-dimensional manifold
Copyright policy )The Jones-Witten invariant for flows on a 3-dimensional manifold
The authors generalize the Jones-Witten polynomial invariants for links on closed compact orientable 3-manifolds, for a vector field with an invariant measure. In the case of measures supported on a finite number of closed orbits and uniformly distributed along them, the new invariant is essentially Witten's formula for links (the closed orbits) on the 3- manifold. Furthermore in the case that the gauge group (used in the definition) is abelian, explicit computations of these invariants are given by the authors.
Topology of general \(3\)-manifolds, 58D20, Ergodic theory, 58G26, flows on 3-dimensional manifolds, 57N10, Jones-Witten polynomial invariants, Dynamics induced by flows and semiflows, Knots and links in the \(3\)-sphere, 57R57, Kryllov-Bogolyubov theory, vector field with an invariant measure
Topology of general \(3\)-manifolds, 58D20, Ergodic theory, 58G26, flows on 3-dimensional manifolds, 57N10, Jones-Witten polynomial invariants, Dynamics induced by flows and semiflows, Knots and links in the \(3\)-sphere, 57R57, Kryllov-Bogolyubov theory, vector field with an invariant measure
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