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math.AG2024
Spin structures on perfect complexes
Nikolas Kuhn
We define spin structures on perfect complexes outside of characteristic two, generalizing the usual notion for vector bundles. We give an explicit local characterization of spin s…
math.CT2024
Categorical Foundations of Formalized Condensed Mathematics
Dagur Asgeirsson, Riccardo Brasca, Nikolas Kuhn +2
Condensed mathematics, developed by Clausen and Scholze over the last few years, proposes a generalization of topology with better categorical properties. It replaces the concept o…