most citedA Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases

6 citations · 11 across the 4 of their papers we have counts for

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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…

math.AT2024★ 2 cited

Nested cobordisms, Cyl-objects and Temperley-Lieb algebras

Maxine E. Calle, Renee S. Hoekzema, Laura Murray +3

We introduce a discrete cobordism category for nested manifolds and nested cobordisms between them. A variation of stratified Morse theory applies in this case, and yields generato…