CORDIS Project
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This project studies the geometric properties of Calabi-Yau threefolds using quivers with potentials, aiming to enhance understanding in string theory. It seeks to establish connections between complex manifolds and quantum field theory through rigorous mathematical frameworks.
This proposal is concerned with the homological properties of Calabi-Yau threefolds, the geometric structures which play a crucial role in string theory.
Rather than working directly with categories of sheaves, we focus on a closely-related class of models defined using quivers with potentials, which have themselves been the subject of intensive research over the last decade.Associated to a quiver with potential are two complex manifolds: the space of stability conditions and the cluster varie…
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