4 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…
Modeling bundle-valued forms on the path space with a curved iterated integral
Cheyne J. Glass, Corbett Redden
We introduce a new variant of Hochschild's two-sided bar construction for the setting of curved differential graded algebras. One can geometrically think of the classical bar compl…
The derivative of global surface-holonomy for a non-abelian gerbe
Cheyne J Glass
Starting with a non-abelian gerbe represented by a non-abelian differential cocycle, with values in a given crossed-module, this paper explicitly calculates a formula for the deriv…