Hyperkähler bases for six rational bordism theories

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Buchanan, Jonathan, Arun Debray, Cameron Krulewski, Stephen J. McKean
DOI: 10.48550/arxiv.2601.18701
Cited by: 0

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.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Algebraic Geometry and Number Theory Geometric and Algebraic Topology

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 January 2026
Document type
Preprint