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math.AT2026
Homotopy-theoretic least squares regression
Cheyne Glass
A presheaf of complexes is constructed on a category of weighted finite subsets of a fixed Euclidean space. To each object, a Koszul complex is assigned which resolves the coordina…
math.CT2026
Hypercovers in Differential Geometry
Cheyne Glass, Emilio Minichiello
In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective model structure and the Čech projective model structure ar…
math.AG2026
Hirzebruch-Riemann-Roch for complex analytic infinity-prestacks
Cheyne Glass, Thomas Tradler, Mahmoud Zeinalian
We provide a cocycle-level Hirzebruch-Riemann-Roch (HRR) identity for arbitrary complex analytic infinity-prestacks. We view this work as the natural setting for Toledo and Tong's…