17 citations · 82 across the 24 of their papers we have counts for
31 papers
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…
A detailed look at the Szczarba map
Emilio Minichiello, Manuel Rivera, Mahmoud Zeinalian
We explain how to derive an explicit formula for a natural transformation relating the (left adjoints of) the homotopy coherent nerve and the Dwyer-Kan simplicial classifying space…
Chern character for infinity vector bundles
Cheyne Glass, Micah Miller, Thomas Tradler +1
Coherent sheaves on general complex manifolds do not necessarily have resolutions by finite complexes of vector bundles. However D. Toledo and Y.L.L. Tong showed that one can resol…
A homological approach to the Gaussian Unitary Ensemble
Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian
We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation f…