80 citations · 480 across the 35 of their papers we have counts for
7 papers · 1 filter
'Real' gerbes and Dirac cones of topological insulators
Kiyonori Gomi, Guo Chuan Thiang
A time-reversal invariant topological insulator occupying a Euclidean half-space determines a 'Quaternionic' self-adjoint Fredholm family. We show that the discrete spectrum data f…
Crystallographic T-duality
Kiyonori Gomi, Guo Chuan Thiang
We introduce the notion of crystallographic T-duality, inspired by the appearance of -theory with graded equivariant twists in the study of topological crystalline materials. Be…
T-duality simplifies bulk-boundary correspondence: the noncommutative case
Keith C. Hannabuss, Varghese Mathai, Guo Chuan Thiang
We state and prove a general result establishing that T-duality simplifies the bulk-boundary correspondence, in the sense of converting it to a simple geometric restriction map. Th…
T-duality trivializes bulk-boundary correspondence: the parametrised case
Keith Hannabuss, Varghese Mathai, Guo Chuan Thiang
We state a general conjecture that T-duality trivialises a model for the bulk-boundary correspondence in the parametrised context. We give evidence that it is valid by proving it i…
T-duality simplifies bulk-boundary correspondence: some higher dimensional cases
Varghese Mathai, Guo Chuan Thiang
Recently we introduced T-duality in the study of topological insulators, and used it to show that T-duality trivialises the bulk-boundary correspondence in 2 dimensions. In this pa…
T-duality simplifies bulk-boundary correspondence
Varghese Mathai, Guo Chuan Thiang
Recently we introduced T-duality in the study of topological insulators. In this paper, we study the bulk-boundary correspondence for three phenomena in condensed matter physics, n…
T-Duality of Topological Insulators
Varghese Mathai, Guo Chuan Thiang
Topological insulators and D-brane charges in string theory can both be classified by the same family of groups. In this paper, we extend this connection via a geometric transform,…