CORDIS Project
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This project investigates the mathematical properties of moduli stacks of coherent sheaves on Calabi-Yau threefolds, which are significant in geometry and string theory. It also aims to develop a new categorification of the Verlinde algebra using twisted equivariant coherent sheaves on algebraic groups.
This proposal will support the applicant as a research fellow at the Mathematical Institute, Oxford University, for two years.
The proposal has two objectives.Objective 1 is a joint project with the proposed host scientist, Professor Dominic Joyce.
It studies the moduli stacks of coherent sheaves on a Calabi-Yau (C-Y) 3-fold. C-Y 3-folds are a major focus of research in Geometry and String Theory in Mathematical Physics.
Donaldson-Thomas (D-T) invariants ""count"" coherent sheaves on C-Y 3-folds…
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