6 citations · 11 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
Smith homomorphisms and Spin structures
Arun Debray, Cameron Krulewski
In this article, we answer two questions of Buchanan-McKean (arXiv:2312.08209) about bordism for manifolds with spin structures: we establish a Smith isomorphism between the re…
The Smith Fiber Sequence and Invertible Field Theories
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…