On the shape of bers-maskit slices

Yohei Komori, Jouni Parkkonen

研究成果: Article査読

4 被引用数 (Scopus)

抄録

We consider complex one-dimensional Bers-Maskit slices through the deformation space of quasifuchsian groups which uniformize a pair of punctured tori. In these slices, the pleating locus on one of the components of the convex hull boundary of the quotient three-manifold has constant rational pleating and constant hyperbolic length. We show that the boundary of such a slice is a Jordan curve which is cusped at a countable dense set of points. We will also show that the slices are not vertically convex, proving the phenomenon observed numerically by Epstein, Marden and Markovic.

本文言語English
ページ(範囲)179-198
ページ数20
ジャーナルAnnales Academiae Scientiarum Fennicae Mathematica
32
1
出版ステータスPublished - 2007 12 1
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)

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