6 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
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…
Weak topological phases in the presence of interactions
Omar Antolín Camarena, Arun Debray, Cameron Krulewski +3
We study weak symmetry-protected topological phases (SPTs) in the presence of short-range interactions. By comparing homotopical free and interacting classifications of these SPTs,…
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…
A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations which sometimes occur at t…