Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP160104502
Funding Status
Closed
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Funded Activity Summary
Invariants, geometric and discrete structures on manifolds. This project aims to develop practical methods for finding geometric and discrete structures on manifolds in both low and high dimensions and advancing our understanding of the information that physics is providing about these spaces. Recently there have been spectacular advances in understanding 3-D spaces and the interaction between ideas in mathematical physics (quantum invariants, string theory) and such spaces. In this project, the first aim is to construct structures with good geometric properties on 3- and 4-manifolds, using triangulations. The second aim is to study combinatorial decompositions of n-manifolds, using our new technique of multisections and also searching for polyhedral metrics of non-positive curvature. The third aim is to connect quantum invariants and geometric structures, again using triangulations.Funded Activity Details
Start Date: 03-2016
End Date: 06-2019
Funding Scheme: Discovery Projects
Funding Amount: $334,000.00
Funder: Australian Research Council
Research Topics
ANZSRC Field of Research (FoR)
Pure Mathematics | Algebraic and Differential Geometry | Topology
