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Uniform quasiconvexity of the disc graphs in the curve graphs
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Vokes, Kate M. (2019) Uniform quasiconvexity of the disc graphs in the curve graphs. In: Hagen, M. and Webb, R. and Wilton, H., (eds.) Beyond Hyperbolicity. London Mathematical Society Lecture Note Series, 454 . Cambridge, United Kingdom ; New York, NY, USA: Cambridge University Press, pp. 223-231. ISBN 9781108559065
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Official URL: https://doi.org/10.1017/9781108559065
Abstract
We give a proof that there exists a universal constant K such that the disc graph associated to a surface S forming a boundary component of a compact, orientable 3-manifold M is K-quasiconvex in the curve graph of S. Our proof does not require the use of train tracks.
| Item Type: | Book Item | ||||||
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| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Graph theory, Curves, Plane, Geometry, Hyperbolic, Geometry, Non-Euclidean | ||||||
| Series Name: | London Mathematical Society Lecture Note Series | ||||||
| Journal or Publication Title: | Beyond Hyperbolicity | ||||||
| Publisher: | Cambridge University Press | ||||||
| Place of Publication: | Cambridge, United Kingdom ; New York, NY, USA | ||||||
| ISBN: | 9781108559065 | ||||||
| Book Title: | Beyond Hyperbolicity | ||||||
| Editor: | Hagen, M. and Webb, R. and Wilton, H. | ||||||
| Official Date: | June 2019 | ||||||
| Dates: |
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| Volume: | 454 | ||||||
| Page Range: | pp. 223-231 | ||||||
| DOI: | 10.1017/9781108559065 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Reuse Statement (publisher, data, author rights): | This material has been published in Beyond Hyperbolicity edited by Mark Hagen, Richard Webb, Henry Wilton, http://doi.org/10.1017/9781108559065 This version is free to view and download for private research and study only. Not for re-distribution or re-use. © insert copyright holder. | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 9 October 2017 | ||||||
| Date of first compliant Open Access: | 5 May 2020 | ||||||
| Conference Paper Type: | Paper | ||||||
| Title of Event: | Beyond Hyperbolicity | ||||||
| Type of Event: | Conference | ||||||
| Location of Event: | University of Cambridge | ||||||
| Date(s) of Event: | 20-24 Jun 2016 | ||||||
| Related URLs: | |||||||
| Open Access Version: |
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