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Uniform bounds for bounded geodesic image theorems
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Richard C. H. Webb
Published/Copyright:
November 23, 2013
Abstract
We give a universal bound for the bounded geodesic image theorem of Masur–Minsky. The proof uses elementary techniques. We also give a universal bound for a stronger version of subsurface projection, this demonstrates good control over many standard subsurface projections simultaneously.
Funding source: Engineering and Physical Sciences Research Council
Award Identifier / Grant number: Doctoral Training
The author would like to thank Saul Schleimer and the referee for comments and suggestions on the paper. We thank Brian Bowditch, Saul Schleimer and Robert Tang for interesting conversations.
Received: 2013-5-23
Revised: 2013-10-17
Published Online: 2013-11-23
Published in Print: 2015-12-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- The limit of the Yang–Mills flow on semi-stable bundles
- Tangent cones to positive-(1,1) De Rham currents
- A characterization of vertex operator algebras V+ℤα: I
- Degenerate neckpinches in Ricci flow
- On the local Bump–Friedberg L-function
- A variational characterization of J-holomorphic curves
- Mahler measure and elliptic curve L-functions at s = 3
- Uniform bounds for bounded geodesic image theorems
- Linear stability of Perelman's ν-entropy on symmetric spaces of compact type
