| EPSRC Reference: |
GR/R61048/01 |
| Title: |
Non-compact representations of surface groups |
| Principal Investigator: |
Hitchin, Professor NJ |
| Other Investigators: |
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| Department: |
Mathematical Institute |
| Organisation: |
University of Oxford |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
26 October 2001 |
Ends: |
25 January 2002 |
Value (£): |
5,180
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The theory of Higgs Bundles and Morse Theory provides a meaning of determining in principle the topology of the space of representations of the fundamental group of a compact surface of genus> 1 into a non-compact lie group G. In practice, what is required is an understanding of the topology of the critical pointset of the Morse function, and this can be interpreted in the language of coherent systems. New developments in this theory have led to results for G = U(p,q). The theory of stable conic bundles should do the same for G = SP(2n,R).
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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.ox.ac.uk |