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math-ph2026
Unraveling the Bott spiral
Arun Debray, Cameron Krulewski, Luuk Stehouwer
We construct and compute a homotopy-theoretic model for the Bott spiral of symmetry-protected topological phases (SPTs) studied by Queiroz--Khalaf--Stern. We model free and interac…
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…