Hirzebruch-Riemann-Roch for complex analytic infinity-prestacks
Cheyne Glass, Thomas Tradler, and Mahmoud Zeinalian
TL;DR
This paper establishes a cocycle-level Hirzebruch-Riemann-Roch identity for complex analytic infinity-prestacks, extending classical results to a broader, more abstract setting in complex geometry.
Contribution
It introduces a cocycle-level HRR identity applicable to complex analytic infinity-prestacks, aligning with Toledo and Tong's HRR framework.
Findings
Provides a new cocycle-level HRR identity for complex analytic infinity-prestacks
Extends classical HRR results to the setting of infinity-prestacks
Aligns with and supports Toledo and Tong's HRR philosophy
Abstract
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 HRR philosophy and technical machinery.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation