Decorated enhanced Teichmüller spaces

Katsuhiro Miguchi

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arXiv · 2006.15072

Decorated enhanced Teichmüller spaces

Katsuhiro Miguchi

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Abstract

In this paper, we introduce a new variation of the Teichmüller space, namely the deformation space of hyperbolic structures on a surface with both enhancement and decoration. We construct the parameterization of this deformation space, which is a common generalization of the shear coordinates and the $λ$-length coordinates. Furthermore, we introduce the lamination space corresponding to this deformation space, and show the compatibility of the shear coordinates and the $λ$-length coordinates.

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BibTeX RIS

Katsuhiro Miguchi. 2021-11-01. Decorated enhanced Teichmüller spaces. https://arxiv.org/abs/2006.15072

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