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Hoyois, Marc; Safronov, Pavel; Scherotzke, Sarah; Sibilla, Nicolò (2021). The categorified Grothendieck–Riemann–Roch theorem. Compositio Mathematica, 157(1):154-214.
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: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Algebra and Number Theory |
| Uncontrolled Keywords: | Algebra and Number Theory |
| Language: | English |
| Date: | 1 January 2021 |
| Deposited On: | 02 Dec 2021 11:59 |
| Last Modified: | 24 Jun 2025 01:40 |
| Publisher: | Cambridge University Press |
| ISSN: | 0010-437X |
| OA Status: | Closed |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1112/s0010437x20007642 |
Hoyois, Marc