Hoyois, Marc, Safronov, Pavel, Scherotzke, Sarah, Sibilla, Nicolo (2021) The categorified Grothendieck–Riemann–Roch theorem. Compositio Mathematica, 157 (1). pp. 154-214. ISSN 0010-437X. (doi:10.1112/S0010437X20007642) (KAR id:82719)
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| Official URL: https://doi.org/10.1112/S0010437X20007642 |
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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
| Item Type: | Article |
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| DOI/Identification number: | 10.1112/S0010437X20007642 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Nicolo Sibilla |
| Date Deposited: | 01 Sep 2020 12:35 UTC |
| Last Modified: | 22 Jul 2025 09:03 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/82719 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Sibilla, Nicolo.
| Creator's ORCID: |
 https://orcid.org/0000-0003-4438-7369
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