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- W4313362712 abstract "We investigate the relation between the topological entropy of pseudo-Anosov maps on surfaces with punctures and the rank of the first homology of their mapping tori. On the surface (S) of genus (g) with (n) punctures, we show that the minimal entropy of a pseudo-Anosov map is bounded from above by (dfrac{(k+1)log(k+3)}{|chi(S)|}) up to a constant multiple when the rank of the first homology of the mapping torus is (k+1) and (k, g, n) satisfy a certain assumption. This is a partial generalization of precedent works of Tsai and Agol-Leininger-Margalit." @default.
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- W4313362712 date "2022-12-30" @default.
- W4313362712 modified "2023-09-27" @default.
- W4313362712 title "Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori" @default.
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- W4313362712 doi "https://doi.org/10.3336/gm.57.2.09" @default.
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