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Lower bound for dilatations

Abstract:
We prove a new lower bound for the dilatation of an arbitrary pseudo‐Anosov map on a surface of genus g with n punctures. Our bound improves the former super‐exponential dependence on the genus by a polynomial dependence.
Publication status:
Published
Peer review status:
Peer reviewed

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Files:
Publisher copy:
10.1112/topo.12061

Authors

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Oxford, MPLS, MPLS Division, MPLS Divisional Office
Role:
Author


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Grant:
DMS-1006553 AND DMS-1607374


Publisher:
London Mathematical Society
Journal:
Journal of Topology More from this journal
Volume:
11
Issue:
3
Pages:
602-614
Publication date:
2018-06-12
Acceptance date:
2017-08-14
DOI:
EISSN:
1753-8424
ISSN:
1753-8416


Keywords:
Pubs id:
pubs:822867
UUID:
uuid:d2c59a38-5ba3-4044-9300-713587a5a19a
Local pid:
pubs:822867
Source identifiers:
822867
Deposit date:
2018-02-05
ARK identifier:

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