6533b863fe1ef96bd12c78d0

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Topological classification of gradient-like diffeomorphisms on 3-manifolds

Vladislav MedvedevElisabeth PécouV. Z. GrinesChristian Bonatti

subject

Discrete mathematicsPure mathematicsMathematics::Dynamical SystemsTopological classificationTopological classificationGeometry and TopologyDiffeomorphismInvariant (mathematics)Topological conjugacyMathematics::Symplectic GeometryMorse–Smale diffeomorphismsMathematics3-manifolds

description

Abstract We give a complete invariant, called global scheme , of topological conjugacy classes of gradient-like diffeomorphisms, on compact 3-manifolds. Conversely, we can realize any abstract global scheme by such a diffeomorphism.

10.1016/s0040-9383(03)00053-3http://dx.doi.org/10.1016/S0040-9383(03)00053-3