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math.AT2024★ 2 cited
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…
math.AT2024★ 3 cited
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…