Discovery Projects - Grant ID: DP190102363

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP190102363

Funding Status
Active

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Funded Activity Summary

Classical and quantum invariants of low-dimensional manifolds. This project aims to advance our understanding of knots and 3-dimensional spaces, which arise naturally in fields as diverse as physics, computer graphics, chemistry and biology. Recent ideas from quantum field theory link physics to topology in dimensions 3 and 4, leading to powerful invariants of knots and 3-dimensional manifolds that include the Jones polynomial and the 3D-index. This project aims to resolve key questions relating these quantum invariants to classical topology and geometry. The project will have a major impact in low-dimensional topology, and lead to deep and unexpected connections between mathematics and mathematical physics.

Funded Activity Details

Start Date: 20-06-2019

End Date: 31-12-2023

Funding Scheme: Discovery Projects

Funding Amount: $300,000.00

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 | Algebraic and Differential Geometry | Topology

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebraic and Differential Geometry | 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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