| EPSRC Reference: |
EP/M000389/1 |
| Title: |
New homotopy-type invariants of knots. |
| Principal Investigator: |
Lobb, Dr A J |
| Other Investigators: |
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| Department: |
Mathematical Sciences |
| Organisation: |
Durham, University of |
| Scheme: |
Standard Research |
| Starts: |
01 January 2015 |
Ends: |
31 December 2016 |
Value (£): |
201,750
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| No relevance to Underpinning Sectors |
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| Related Grants: |
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| Panel History: |
| Panel Date | Panel Name | Outcome |
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11 Jun 2014
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EPSRC Mathematics Prioritisation Meeting June 2014
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Announced
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Summary on Grant Application Form |
To a mathematician knots are essentially the same as they are to anyone - tangled up pieces of string. Studying when two knots are different turns out to have deep implications for a wide range of mathematical areas. In this project we are developing a new way to distinguish between two knots and we hope that our research will lead not just to a better understanding of knots, but also to a better understanding of weird 4-dimensional spaces.
This hope comes from the fact that one can consider knots sitting in 3-dimensional space as living on the boundary of 4-dimensional space. When one pulls the knot through the 4-dimensional space, analyzing what sort of surfaces you can produce tells you about that 4-dimensional space. Our way of distinguishing between knots should have something to say also about these surfaces, and hence about 4-dimensional spaces.
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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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