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|Citation:||Journal of Geometry and Physics, 2019; 139:50-77|
|Kiyonori Gomia, Guo Chuan Thiang|
|Abstract:||We introduce the notion of crystallographic T-duality, inspired by the appearance of $K$-theory with graded equivariant twists in the study of topological crystalline materials. Besides giving a range of new topological T-dualities, it also unifies many previously known dualities, motivates generalisations of the Baum-Connes conjecture to graded groups, provides a powerful tool for computing topological phase classification groups, and facilitates the understanding of crystallographic bulk-boundary correspondences in physics.|
|Keywords:||T-duality; topological phases; crystallography|
|Rights:||© 2019 Elsevier B.V. All rights reserved.|
|Appears in Collections:||Mathematical Sciences publications|
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