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The Jones-Witten invariant for flows on a 3-dimensional manifold. (English) Zbl 0808.57011
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.

57N10 Topology of general \(3\)-manifolds (MSC2010)
37C10 Dynamics induced by flows and semiflows
57M25 Knots and links in the \(3\)-sphere (MSC2010)
37A99 Ergodic theory
Full Text: DOI
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