Some Hermitian K-groups via geometric topology
Algebraic Topology
2022-02-10 v2 K-Theory and Homology
Abstract
We compute the first two symplectic quadratic K-theory groups of the integers, or equivalently, the first two stable homology groups of the group of symplectic integral matrices preserving the standard quadratic refinement. The main novelty in our calculation lies in its method, which is based on high-dimensional manifold theory.
Cite
@article{arxiv.2002.05255,
title = {Some Hermitian K-groups via geometric topology},
author = {Manuel Krannich and Alexander Kupers},
journal= {arXiv preprint arXiv:2002.05255},
year = {2022}
}
Comments
6 pages, to appear in Proceedings of the American Mathematical Society