| EPSRC Reference: |
GR/S48639/01 |
| Title: |
Disentanglements and Whitney Equisingularity |
| Principal Investigator: |
Houston, Dr K |
| Other Investigators: |
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| Researcher Co-Investigators: |
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| Project Partners: |
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| Department: |
Pure Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Overseas Travel Grants Pre-FEC |
| Starts: |
30 July 2003 |
Ends: |
29 August 2003 |
Value (£): |
1,794
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| EPSRC Research Topic Classifications: |
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| EPSRC Industrial Sector Classifications: |
| Communications |
Electronics |
| Creative Industries |
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| Related Grants: |
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| Panel History: |
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Summary on Grant Application Form |
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The goal of the proposed research is to change the way a problem on the triviality of a family of complex analytic maps is approached. To find the triviality of such a family one can use invariants introduced and investigated by Gaffney. These are difficult to define and apply, since their definition varies greatly from one invariant to another. An alternative method is to take a sequence of linear slices of different dimensions of the discriminant of perturbations of each family member. In low dimensional cases it can be shown that constancy within the family of the betti numbers of these spaces is equivalent to Whitney equisingularity, and hence the family is trivial. The proposal is to fund a visit by the investigator to work with colleagues in Brazil to explore the extent to which this is true in more general dimensions.
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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 |
| Summary |
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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.leeds.ac.uk |