| EPSRC Reference: |
GR/S75581/01 |
| Title: |
Algebraic invariants & the structure of pseudo-Anosov foliations |
| Principal Investigator: |
Hall, Dr T |
| Other Investigators: |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Liverpool |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 February 2004 |
Ends: |
31 January 2007 |
Value (£): |
158,537
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| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
| Non-linear Systems Mathematics |
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| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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Pseudo-Anosov maps, introduced by Thurston, play a central role in the study of nonlinear dynamical systems defined on surfaces. A pseudo-Anosov preserves a pair of foliations of the underlying surface, and also has certain algebraic invariants associated to it. The aim of this proposal is to study the interplay between the structure of the foliations, the dynamics, and the algebraic invariants. Several mathematicians have worked on this important and open-ended problem in the last 20 years, but a new impetus has been provided by the powerful techniques recently developed by Band.The proposed research comes under the Nonlinearity theme of the EPSRC's current research priorities relating to the Mathematical Foundation.The total cost of this research would be 155910, the majority of which would be spent on employing a post-doctoral research associate to work full time on the problem for 3 years.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.liv.ac.uk |