| EPSRC Reference: |
EP/K00591X/1 |
| Title: |
Knot homology: theory and computation. |
| Principal Investigator: |
Lobb, Dr A J |
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| Department: |
Mathematical Sciences |
| Organisation: |
Durham, University of |
| Scheme: |
First Grant - Revised 2009 |
| Starts: |
10 March 2013 |
Ends: |
09 June 2014 |
Value (£): |
89,409
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
Knots to mathematicians are equivalent to what they are in real life: tangled up pieces of string. To a topologist it doesn't matter if you move the string around in space, so long as you keep the endpoints of the string fixed and you don't use your scissors! In order to distinguish between different knots, topologists compute quantities that don't change as you move the string around.
The research supported by this grant studies a particular class of these quantities (knot homologies) that have been discovered within about the last ten years. In doing this research we aim to prove theorems distinguishing between various knot homologies, and also carry out explicit computational work to understand better the structure of these theories. Interestingly, there are intimate connections of these theories with physics (gauge theory and string theory) so that we expect our research to have relevance even outside the realm of pure mathematics.
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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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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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