Veech groups without parabolic elements

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that a ``bouillabaisse'' surface (translation surface which has two transverse parabolic elements) has totally real trace field. As a corollary, non trivial Veech groups which have no parabolic elements do exist. The proof follows Veech's viewpoint on Thurston's construction of pseudo-Anosov diffeomorphisms.
7 pages, Corrected typos, to appear in Duke Mathematical Journal

Keywords

Geometric Topology, Dynamical Systems, 32G15, 30F30, 30F60, 58F18

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74371

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503047
 http://arxiv.org/abs/math/0503047

Collections

arXiv