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math.DG2024
Topology of the Dirac equation on spectrally large three-manifolds
Francesco Lin
The interaction between spin geometry and positive scalar curvature has been extensively explored. In this paper, we instead focus on Dirac operators on Riemannian three-manifolds…
math.DG2022
Lectures on families of Dirac operators and applications
Francesco Lin
These are the notes for a minicourse taught at the 2022 ICTP summer school `Frontiers in Geometry and Topology'. The goal is to introduce families of Dirac operators and how they c…