1 citations · 1 across the 2 of their papers we have counts for
8 papers
Band width and the Rosenberg index
Yosuke Kubota
A Riemannian manifold is said to have infinite -width if it admits an isometric immersion of an arbitrarily wide Riemannian band whose inward boundary has non-trivial…
The bulk-dislocation correspondence for weak topological insulators on screw-dislocated lattices
Yosuke Kubota
A weak topological insulator in dimension is known to have a topologically protected gapless mode along the screw dislocation. In this paper we formulate and prove this fact wi…
Codimension 2 transfer of higher index invariants
Yosuke Kubota
This paper is devoted to the study of the higher index theory of codimension submanifolds originated by Gromov-Lawson and Hanke-Pape-Schick. The first main result is to constru…
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…
The index theorem of lattice Wilson--Dirac operators via higher index theory
Yosuke Kubota
We give a proof of the index theorem of lattice Wilson--Dirac operators, which states that the index of a twisted Dirac operator on the standard torus is described in terms of the…
The relative Mishchenko--Fomenko higher index and almost flat bundles II: Almost flat index pairing
Yosuke Kubota
This is the second part of a series of papers which bridges the Chang--Weinberger--Yu relative higher index and geometry of almost flat hermitian vector bundles on manifolds with b…