170 citations · 914 across the 41 of their papers we have counts for
43 papers
Hilbert Grassmannians as classifying spaces
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. Rendel
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result…
A new light on the FKMM invariant and its consequences
Giuseppe De Nittis, Kiyonori Gomi
"Quaternionic" vector bundles are the objects which describe the topological phases of quantum systems subjected to an odd time-reversal symmetry (class AII). In this work we prove…
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.…
'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…
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…
Homological bulk-edge correspondence for Weyl semimetal
Kiyonori Gomi
For a certain translation invariant tight-binding model of three-dimensional Weyl semimetals, we establish a bulk-edge correspondence as an equality of two relative homology classe…