Invariants of Foliations
Find a constructive invariant which takes the same values on topologically equivalent foliations.
To describe all topological invariants which are admissible, i.e., which may be realized in the chosen class of foliations.
Find a standard representative in each equivalence class, i.e., for a given admissible invariant to construct a flow whose invariant “coincides” with the admissible invariant.
KeywordsElementary Cell Cayley Graph Rotation Number Fuchsian Group Klein Bottle
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- V. I. Arnold, Small denominators I. Mapping of the circle onto itself, Translations of AMS (series 2 ), 46, 1965, 213 - 284.Google Scholar
- V. I. Arnold, Small denominators and problem of stability of motion in classical and celestial mechanics, Russian Math. Surv., 18, 1963, 6, 85 - 193.Google Scholar