4 papers
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…
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 Äech projective model structure a…
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…
Cech - de Rham Chern character on the stack of holomorphic vector bundles
Cheyne Glass, Thomas Tradler, Mahmoud Zeinalian
We provide a formula for the Chern character of a holomorphic vector bundle in the hyper-cohomology of the de Rham complex of holomorphic sheaves on a complex manifold. This Chern…