Fortier Bourque, M. and Rafi, K. (2018) Non-convex balls in the Teichmüller metric. Journal of Differential Geometry, 110(3), pp. 379-412. (doi: 10.4310/jdg/1542423625)
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170408.pdf - Accepted Version 675kB |
Abstract
We prove that the Teichmüller space of surfaces of genus g with p punctures contains balls which are not convex in the Teichmüller metric whenever its complex dimension (3g − 3 + p) is greater than 1.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fortier-Bourque, Dr Maxime |
| Authors: | Fortier Bourque, M., and Rafi, K. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Differential Geometry |
| Journal Abbr.: | J. Differential Geom. |
| Publisher: | International Press |
| ISSN: | 0022-040X |
| ISSN (Online): | 1945-743X |
| Published Online: | 17 November 2018 |
| Copyright Holders: | Copyright © 2018 The Authors |
| First Published: | First published in Journal of Differential Geometry 110(3): 379-412 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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