An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra
| Autor: | Coloma, Mattia, Fiorenza, Domenico, Landi, Eugenio |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.exmath.2021.11.003 |
| Popis: | We give an informal exposition of pushforwards and orientations in generalized cohomology theories in the language of spectra. The whole note can be seen as an attempt at convincing the reader that Todd classes in Grothendieck-Hirzebruch-Riemann-Roch type formulas are not Devil's appearances but rather that things just go in the most natural possible way. Comment: 28 pages, 1 figure. Final version, to appear in Expositiones Mathematicae (with English titles, despite the Latin name of the journal). Exposition improved and additional material included, mostly in the first part. An inaccuracy in Remark 3.6 fixed |
| Databáze: | arXiv |
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