Hyperk\"ahler bases for six rational bordism theories
Algebraic Topology
2026-01-27 v1
Abstract
We use tori and Hilbert schemes of K3 surfaces to construct explicit bases for the real, complex, and quaternionic versions of rational symplectic and rational Spin bordism. The key input to our work is a theorem of Oberdieck, Song, and Voisin on the Milnor genus of Hilbert schemes of K3s.
Cite
@article{arxiv.2601.18701,
title = {Hyperk\"ahler bases for six rational bordism theories},
author = {Jonathan Buchanan and Arun Debray and Cameron Krulewski and Stephen McKean},
journal= {arXiv preprint arXiv:2601.18701},
year = {2026}
}
Comments
28 pages. Comments welcome!