The closed leaf index of foliated manifolds

Conlon, Lawrence; Goodman, Sue

doi:10.1090/S0002-9947-1977-0467768-1

The closed leaf index of foliated manifolds
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by Lawrence Conlon and Sue Goodman

Trans. Amer. Math. Soc. 233 (1977), 205-221

DOI: https://doi.org/10.1090/S0002-9947-1977-0467768-1

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Abstract:

For M a closed, connected, oriented 3-manifold, a topological invariant is computed from the cohomology ring ${H^\ast }(M;{\mathbf {Z}})$ that provides an upper bound to the number of topologically distinct types of closed leaves any smooth transversely oriented foliation of M can contain. In general, this upper bound is best possible.

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