Quadratic Riemann-Roch formulas
K-Theory and Homology
2024-03-15 v1
Abstract
In this article, we produce Grothendieck-Riemann-Roch formulas for cohomology theories that are not oriented in the classical sense. We then specialize to the case of cohomology theories that admit a so-called symplectic orientation and show how to compute the relevant Todd classes in that situation. At the end of the article, we illustrate our methods on the Borel character linking Hermitian K-theory and rational MW-motivic cohomology.
Keywords
Cite
@article{arxiv.2403.09266,
title = {Quadratic Riemann-Roch formulas},
author = {Frédéric Déglise and Jean Fasel},
journal= {arXiv preprint arXiv:2403.09266},
year = {2024}
}
Comments
54 pages, comments welcome!