Some hermitian K-groups via geometric topology
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Krannich, Manuel https://orcid.org/0000-0003-1994-5330
Kupers, A
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.
Description
Keywords
4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences
Journal Title
Proceedings of the American Mathematical Society
Conference Name
Journal ISSN
0002-9939
1088-6826
1088-6826
Volume Title
149
Publisher
American Mathematical Society (AMS)
Publisher DOI
Rights
All rights reserved
Sponsorship
Leverhulme Trust (PLP-2017-017)
European Research Council (756444)
European Research Council (756444)