1 citations · 2 across the 3 of their papers we have counts for
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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…
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 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…
Almost flat relative vector bundles and the almost monodromy correspondence
Yosuke Kubota
In this paper we introduce the notion of almost flatness for (stably) relative bundles on a pair of topological spaces and investigate basic properties of it. First, we show that a…
The relative Mishchenko--Fomenko higher index and almost flat bundles I: The relative Mishchenko--Fomenko index
Yosuke Kubota
In this paper, the first of two, we introduce an alternative definition of the Chang--Weinberger--Yu relative higher index, which is thought of as a relative analogue of the Mishch…