The categorified Grothendieck-Riemann-Roch theorem

Marc Hoyois; Pavel Safronov; Sarah Scherotzke; Nicolò Sibilla

The categorified Grothendieck-Riemann-Roch theorem

Marc Hoyois, Pavel Safronov, Sarah Scherotzke, Nicolò Sibilla

School of Mathematics

Research output: Working paper

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 To\"en and Vezzosi's secondary Chern character. As a main application, we establish a comparison between the To\"en-Vezzosi Chern character and the classical Chern character, and show that the categorified Chern character recovers the classical de Rham realization.

Original language	English
Publisher	ArXiv
Number of pages	50
Publication status	Published - 17 Sept 2020

Keywords / Materials (for Non-textual outputs)

math.KT
math.AG
math.AT
math.CT

Access to Document

1804.00879v3Accepted author manuscript, 800 KB

https://arxiv.org/abs/1804.00879

Pavel Safronov
- School of Mathematics - Reader
Person: Academic: Research Active

Cite this

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The categorified Grothendieck-Riemann-Roch theorem

Abstract

Keywords / Materials (for Non-textual outputs)

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Pavel Safronov

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