arXiv Open Access 2022

Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori

Hyungryul Baik Juhun Baik Changsub Kim Philippe Tranchida

Lihat Sumber

Abstrak

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 entropy of a pseudo-Anosov map is bounded from above by $\dfrac{(k+1)\log(k+3)}{|χ(S)|}$ 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.

Topik & Kata Kunci

math.GT

Penulis (4)

Hyungryul Baik

Juhun Baik

Changsub Kim

Philippe Tranchida

Format Sitasi

APA MLA BibTeX

Baik, H., Baik, J., Kim, C., Tranchida, P. (2022). Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori. https://arxiv.org/abs/2201.01007

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓