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Dehn-Fried surgeries on non-transitive expansive flows

Published 28 Oct 2024 in math.DS | (2410.21470v1)

Abstract: In this paper, we prove that for any flow $\Psi$ obtained by a Dehn-Fried surgery on an expansive (or equivalently topological pseudo-Anosov) flow $\Phi$ in dimension 3, $\Psi$ is expansive if and only if its stable and unstable foliations do not contain $1$-prong singularities.

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