34 citations · 35 across the 2 of their papers we have counts for
6 papers
Twisted crystallograpic T-duality via the Baum--Connes isomorphism
Kiyonori Gomi, Yosuke Kubota, Guo Chuan Thiang
We establish the twisted crystallographic T-duality, which is an isomorphism between Freed-Moore twisted equivariant K-groups of the position and momentum tori associated to an ext…
Edge-following topological states
Guo Chuan Thiang
We prove that Chern insulators have topologically protected edge states which not only propagate unidirectionally along a straight line boundary, but also swerve around arbitrary-a…
Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves
Kei Yamamoto, Guo Chuan Thiang, Philipp Pirro +3
We propose a topological characterization of Hamiltonians describing classical waves. Applying it to the magnetostatic surface spin waves that are important in spintronics applicat…
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…
Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
Kiyonori Gomi, Guo Chuan Thiang
A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottl…
Some attempts at proving the non-existence of a full set of mutually unbiased bases in dimension 6
Guo Chuan Thiang
Complete sets of mutually unbiased bases are only known to exist in prime-power dimensions. We will describe a few approaches to the problem proving the (non)-existence of four mut…