170 citations · 914 across the 41 of their papers we have counts for
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math.KT2021
Differential -theory via gradations and mass terms
Kiyonori Gomi, Mayuko Yamashita
We construct models of the differential -theory and the twisted differential -theory, by refining Karoubi's -theory [Kar78] in terms of gradations on Clifford modules.…
hep-th2021★ 5 cited
'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…
math.KT2021★ 9 cited
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…