Research Perspectives - Tools for Visualisation of Portfolios
EPSRC logo

EPSRC Database


Source RCUK EPSRC Data

EP/K00591X/1 - Knot homology: theory and computation.

Research Perspectives grant details from EPSRC portfolio

http://www.researchperspectives.org/gow.grants/grant_EPK00591X1.png

Dr A J Lobb EP/K00591X/1 - Knot homology: theory and computation.

Principal Investigator - Mathematical Sciences, Durham University

Scheme

First Grant Scheme

Research Areas

Geometry & Topology Geometry & Topology

Start Date

03/2013

End Date

06/2014

Value

£89,409

Similar Grants

Automatic generation of similar EPSRC grants

Similar Topics

Topic similar to the description of this grant

Grant Description

Summary and Description of the grant

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.

Structured Data / Microdata


Grant Event Details:
Name: Knot homology: theory and computation. - EP/K00591X/1
Start Date: 2013-03-10T00:00:00+00:00
End Date: 2014-06-09T00:00:00+00:00

Organization: Durham University

Description: 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 sciss ...