Chen, Y., Chernov, R., Flores, M., Fortier Bourque, M. , Lee, S. and Yang, B. (2018) Toy Teichmüller spaces of real dimension 2: the pentagon and the punctured triangle. Geometriae Dedicata, 197(1), pp. 193-227. (doi: 10.1007/s10711-018-0325-6)
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Abstract
We study two 2-dimensional Teichmüller spaces of surfaces with boundary and marked points, namely, the pentagon and the punctured triangle. We show that their geometry is quite different from Teichmüller spaces of closed surfaces. Indeed, both spaces are exhausted by regular convex geodesic polygons with a fixed number of sides, and their geodesics diverge at most linearly.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fortier-Bourque, Dr Maxime |
| Authors: | Chen, Y., Chernov, R., Flores, M., Fortier Bourque, M., Lee, S., and Yang, B. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Geometriae Dedicata |
| Journal Abbr.: | Geom. Dedicata |
| Publisher: | Springer |
| ISSN: | 0046-5755 |
| ISSN (Online): | 1572-9168 |
| Published Online: | 02 February 2018 |
| Copyright Holders: | Copyright © 2018 Springer Science+Business Media B.V., part of Springer Nature |
| First Published: | First published in Geometriae Dedicata 197(1): 193-227 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
| Related URLs: |
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