Discovery Projects - Grant ID: DP160103085

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160103085

Funding Status
Closed

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Funded Activity Summary

Quantum invariants and hyperbolic manifolds in three-dimensional topology. The project aims to broaden our understanding of three-dimensional (3-D) spaces, including spaces that arise in engineering, microbiology and physics. It is known that all 3-D spaces can be decomposed into geometric pieces. The most common type of geometry is hyperbolic. It is also known that such spaces have algebraic structures arising from quantum physics, known as quantum invariants. Several important conjectures, based on developments in physics, assert that hyperbolic geometry and quantum invariants are deeply related, but they remain unproved. The project aims to find new relationships between hyperbolic geometry and quantum invariants, advancing our understanding of both areas.

Funded Activity Details

Start Date: 13-05-2016

End Date: 10-09-2020

Funding Scheme: Discovery Projects

Funding Amount: $448,294.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Expanding Knowledge in the Mathematical Sciences | Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | Pure Mathematics | Topology

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