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.(c) 2021 Elsevier GmbH. All rights reserved.
An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra / Coloma, M; Fiorenza, D; Landi, E. - In: EXPOSITIONES MATHEMATICAE. - ISSN 0723-0869. - 40:2(2022), pp. 357-394. [10.1016/j.exmath.2021.11.003]
An exposition of the topological half of the Grothendieck-Hirzebruch-Riemann-Roch theorem in the fancy language of spectra
Fiorenza, D;Landi, E
2022
Abstract
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.(c) 2021 Elsevier GmbH. All rights reserved.| File | Dimensione | Formato | |
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