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\({\rm{S}}{{\rm{L}}_2}(\mathbb{R})\)-dynamics on the moduli space of one-holed dilation tori

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Abstract

We study the \({\rm{S}}{{\rm{L}}_2}(\mathbb{R})\)-action on the moduli space of (triangulable) dilation tori with one boundary component. We prove that every orbit is either closed or dense, and that every orbit of the Teichmüller flow escapes to infinity.

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Author information

Authors and Affiliations

  1. Faculté des Sciences, Aix-Marseille Université, 39 rue Frédéric Joliot-Curie, 13453, Marseille Cedex 13, France

    Adrien Boulanger

  2. Mathematics Institute, University of Warwick, Zeeman Building, Coventry, CV4 7AL, UK

    Selim Ghazouani

Authors
  1. Adrien Boulanger
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  2. Selim Ghazouani
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Corresponding author

Correspondence to Adrien Boulanger.

Additional information

Partially founded by the ERC no. 647133 ’IChaos’.

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Boulanger, A., Ghazouani, S. \({\rm{S}}{{\rm{L}}_2}(\mathbb{R})\)-dynamics on the moduli space of one-holed dilation tori. Isr. J. Math. 259, 1–32 (2024). https://doi.org/10.1007/s11856-023-2481-0

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  • DOI: https://doi.org/10.1007/s11856-023-2481-0

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