| EPSRC Reference: |
GR/S06165/01 |
| Title: |
Twisted K theory and the moduli space of holomorphic bundles |
| Principal Investigator: |
Teleman, Professor C |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Pure Maths and Mathematical Statistics |
| Organisation: |
University of Cambridge |
| Scheme: |
First Grant Scheme Pre-FEC |
| Starts: |
01 October 2003 |
Ends: |
30 September 2005 |
Value (£): |
89,040
|
| EPSRC Research Topic Classifications: |
| Algebra & Geometry |
Mathematical Analysis |
| Mathematical Physics |
|
|
| EPSRC Industrial Sector Classifications: |
| No relevance to Underpinning Sectors |
|
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
We propose to study the K theory of moduli spaces of semi-stable G-bundles of Riemann surfaces using the new methods of twisted K theory and the (older) quantization commutes with reduction results. In the smooth case we must recover the results of Jeffrey, Kirwan and Witten's formulas in the singular case, the relation to ordinary and intersection cohomology is unknown and we plan to study low-dimensional examples. In all cases we expect to get new results about the stack of G-bundles.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.cam.ac.uk |