Hoyois, Marc and Safronov, Pavel and Scherotzke, Sarah and Sibilla, Nicolo (2021) The categorified Grothendieck-Riemann-Roch theorem. COMPOSITIO MATHEMATICA, 157 (1). pp. 154-214. ISSN 0010-437X, 1570-5846
Full text not available from this repository.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 Toen and Vezzosi's secondary Chern character. As a main application, we establish a comparison between the Toen-Vezzosi Chern character and the classical Chern character, and show that the categorified Chern character recovers the classical de Rham realization.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CYCLIC HOMOLOGY; CHERN CLASSES; LOOP-SPACES; TRANSFORMATIONS; CHARACTER; MOTIVES; Chern character; K-theory; categorification |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Aug 2022 05:22 |
| Last Modified: | 23 Aug 2022 05:22 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46814 |
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