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…
An algebraic model for the constant loops map
Luis Fernandez, Manuel Rivera, Thomas Tradler
For any simplicial complex with a total ordering of its vertices, one can construct a chain complex generated by necklaces of simplices in , which co…
Massey products for homotopy inner products
Kate Poirier, Thomas Tradler, Scott O. Wilson
This paper defines Massey-type products for a homotopy inner product on an algebra, called Massey inner products. We include an explicit description of ordinary Massey p…
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…