17 citations · 82 across the 24 of their papers we have counts for
3 papers · 1 filter
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…
Simplicial presheaves of Green complexes and twisting cochains
Timothy Hosgood, Mahmoud Zeinalian
We construct three simplicial presheaves on the site of ringed spaces, and in particular on that of complex manifolds. The descent objects for these simplicial presheaves yield Tol…