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math.GT2024★ 1 cited
Minimal stretch factors of orientation-reversing fully-punctured pseudo-Anosov maps
Erwan Lanneau, Livio Liechti, Chi Cheuk Tsang
We show that the stretch factor of an orientation-reversing fully-punctured pseudo-Anosov map on a finite-type orientable surface , with and having at…
math.DS2024
Examples of Anosov flows with genus one Birkhoff sections
Chi Cheuk Tsang
We show that a transitive Anosov flow with orientable stable and unstable foliations that either (i) admits a Birkhoff section whose first return map is a Penner type pseudo-Anosov…
math.DS2024
Horizontal Goodman surgery and almost equivalence of pseudo-Anosov flows
Chi Cheuk Tsang
We provide an exposition of a `horizontal' generalization of Goodman's surgery operation on (pseudo-)Anosov flows. This operation is performed by cutting along a specific kind of a…