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Two-dimensional links and diffeomorphisms on 3-manifolds

  • CHRISTIAN BONATTI (a1), VIATCHESLAV GRINES (a2) and ELISABETH PÉCOU (a3)

Abstract

For diffeomorphisms on 3-manifolds, two-dimensional links composed of tori (and possibly one Klein bottle) embedded in S^2\times S^1 appear in a natural way to describe the topological position of two-dimensional unstable manifolds of saddles in the basin of a periodic sink. For such a link \mathcal{E} we build a diffeomorphism f_{\mathcal{E}} which is used as a canonical model for ‘pieces of the dynamics’, namely the basin of attractors consisting of a sink and a finite set of two-dimensional unstable manifolds of saddles.

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Two-dimensional links and diffeomorphisms on 3-manifolds

  • CHRISTIAN BONATTI (a1), VIATCHESLAV GRINES (a2) and ELISABETH PÉCOU (a3)

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