Abstract
Contents §1. Introduction §2. Definitions and preliminary information 2.1. Planar structures 2.2. Billiards in rational polygons 2.3. Interval exchange transformations 2.4. Elementary planar structures §3. The Veech alternative 3.1. The stabilizer of a planar structure 3.2. Veech's theorem 3.3. Masur's lemma 3.4. Pencils of periodic trajectories §4. Examples of Veech's theorem 4.1. Planar structures on a torus 4.2. Planar structures with one singular point 4.3. Non-lattice stabilizers §5. Covers of planar structures 5.1. Finiteness of the number of covers 5.2. Relation with stabilizers §6. Another proof of Veech's theorem 6.1. Property A 6.2. Property B Bibliography
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.