Discovery Projects - Grant ID: DP0208490

Funding Activity

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Funded Activity Summary

Topics on 3- and 4-dimensional manifolds. - to develop practical algorithms for recognising surfaces, knots and 3-dimensional spaces. These will be very useful for experimentation and to understand the computational complexity of such questions. - to understand the properties of minimal surfaces in 3-dimensional spaces of constant negative curvature, with applications to the complexity of knots and the structure of these spaces. - to develop a theory of 4-dimensional spaces which are covered by Euclidean 4-space. New techniques will be utilised, since the powerful methods of Freedman-Quinn do not apply to most such spaces.

Funded Activity Details

Start Date: 01-01-2002

End Date: 31-12-2007

Funding Scheme: Discovery Projects

Funding Amount: $466,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Topology And Manifolds | Pure Mathematics |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Mathematical sciences | Pure Mathematics | Topology And Manifolds