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arXiv · 1804.00879

The categorified Grothendieck-Riemann-Roch theorem

Marc Hoyois·Pavel Safronov·Sarah Scherotzke·Nicolò Sibilla
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Abstract

In this paper we prove a categorification of the Grothendieck-Riemann-Roch theorem. Our result implies in particular a Grothendieck-Riemann-Roch theorem for Toën and Vezzosi's secondary Chern character. As a main application, we establish a comparison between the Toën-Vezzosi Chern character and the classical Chern character, and show that the categorified Chern character recovers the classical de Rham realization.

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Marc Hoyois, Pavel Safronov, Sarah Scherotzke, Nicolò Sibilla. 2020-09-17. The categorified Grothendieck-Riemann-Roch theorem. https://arxiv.org/abs/1804.00879

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