Veech Groups and Translation Coverings

By Myriam Finster

Book Overview

A translation surface is obtained by taking plane polygons and gluing their edges by translations. We ask which subgroups of the Veech group of a primitive translation surface can be realised via a translation covering. For many primitive surfaces we prove that partition stabilising congruence subgroups are the Veech group of a covering surface. We also address the coverings via their monodromy groups and present examples of cyclic coverings in short orbits, i.e. with large Veech groups.

• Format: Paperback
• Language: English
• ISBN: 3731501805
• ISBN13: 9783731501800
• Release Date: March 2014
• Publisher: Karlsruher Institut Fur Technologie
• Length: 152 Pages
• Weight: 0.42 lbs.
• Dimensions: 0.3" x 5.8" x 8.3"