Dehn-Fried surgeries on non-transitive expansive flows
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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Sprache: | eng |
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.2410.21470 |