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There is only one transitive Anosov flow (in dimension 3, with orientable foliations, up to bicontact padding and Goodman surgeries)

Barthelmé, Thomas et al.
arXiv (All) · Papers
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dynamical-systemsgeometric-topologysymplectic-geometry
We introduce a new surgical operation on Anosov flows, which we call bicontact padding surgery. The operation is defined using the machinery of strongly adapted bicontact structures, and involves inserting a 'padding' layer where one of the contact structures rotates many times around the Reeb flow
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