The Library
On asymptotic Teichmüller space
Tools
Fletcher, A. (Alastair) (2010) On asymptotic Teichmüller space. American Mathematical Society. Transactions, Vol.362 (No.5). pp. 2507-2523. doi:10.1090/S0002-9947-09-04944-7 ISSN 0002-9947.
PDF (Article)
WRAP_Fletcher_teichmuller.pdf - Requires a PDF viewer. Download (259Kb) |
|
PDF (Coversheet)
WRAP_fletcher_coversheet.pdf - Requires a PDF viewer. Download (37Kb) |
Official URL: http://dx.doi.org/10.1090/S0002-9947-09-04944-7
Abstract
In this article we prove that for any hyperbolic Riemann surface M of infinite analytic type, the little Bers space Q0(M) is isomorphic to c0. As a consequence of this result, if M is such a Riemann surface, then its asymptotic Teichm¨uller space AT(M) is bi-Lipschitz equivalent to a bounded open subset of the Banach space l∞/c0. Further, if M and N are two such Riemann surfaces, their asymptotic Teichm¨uller spaces, AT(M) and AT(N), are locally bi-Lipschitz equivalent
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Teichmüller spaces, Riemann surfaces, Banach spaces | ||||
Journal or Publication Title: | American Mathematical Society. Transactions | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0002-9947 | ||||
Official Date: | 2010 | ||||
Dates: |
|
||||
Volume: | Vol.362 | ||||
Number: | No.5 | ||||
Page Range: | pp. 2507-2523 | ||||
DOI: | 10.1090/S0002-9947-09-04944-7 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year