ARC Future Fellowships - Grant ID: FT230100092

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/API/grants/FT230100092

Funding Status
Active

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Funded Activity Summary

New techniques and invariants in low-dimensional topology. The aim of this project is to introduce and apply new methods and invariants in the field of low-dimensional topology by developing parametrised and equivariant enhancements of Seiberg-Witten theory and Floer homology. These new refined invariants, made possible by recent advances in gauge theory, will be more powerful than existing ones, enabling the detection of new exotic phenomena. Expected outcomes include effective means for distinguishing families of spaces, measuring their complexity and new obstructions for their existence. The new invariants and techniques will lead to the resolution of some open problems in low-dimensional topology and enhance Australia's reputation as a world leader in this field.

Funded Activity Details

Start Date: 07-2023

End Date: 06-2027

Funding Scheme: ARC Future Fellowships

Funding Amount: $933,906.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Algebraic and differential geometry | Topology | Pure mathematics |

ANZSRC Socio-Economic Objective (SEO)

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