Published August 2015
| Accepted Version
Journal Article
Open
A lower bound for Torelli-K-quasiconformal homogeneity
- Creators
- Greenfield, Mark
Abstract
A closed hyperbolic Riemann surface M is said to be K-quasiconformally homogeneous if there exists a transitive family ℱ of K-quasiconformal homeomorphisms. Further, if all [f]⊂ℱ act trivially on H_1(M;ℤ), we say M is Torelli-K-quasiconformally homogeneous. We prove the existence of a uniform lower bound on K for Torelli-K-quasiconformally homogeneous Riemann surfaces. This is a special case of the open problem of the existence of a lower bound on K for (in general non-Torelli) K-quasiconformally homogeneous Riemann surfaces.
Additional Information
© 2015 Springer. Received: 15 October 2013 / Accepted: 24 March 2014 / Published online: 30 March 2014. The author wishes to thank Professor Vladimir Markovic for providing an interesting project and for his effective mentoring. This work was done under a Ryser Summer Undergraduate Research Fellowship at Caltech.Attached Files
Accepted Version - 1309.2666v3.pdf
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1309.2666v3.pdf
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Additional details
- Eprint ID
- 59505
- Resolver ID
- CaltechAUTHORS:20150813-141714855
- Caltech Summer Undergraduate Research Fellowship (SURF)
- Created
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2015-08-13Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field