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math.AT2026
Hyperkähler bases for six rational bordism theories
Jonathan Buchanan, Arun Debray, Cameron Krulewski +1
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 ke…
math.AT2025
KSp-characteristic classes determine Spin cobordism
Jonathan Buchanan, Stephen McKean
A classic result of Anderson, Brown, and Peterson states that the cobordism spectrum MSpin (respectively, MSpin) splits as a sum of Eilenberg--Mac Lane spectra and connective c…