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math-ph2025★ 1 cited
Stable homotopy theory of invertible gapped quantum spin systems I: Kitaev's -spectrum
Yosuke Kubota
We provide a mathematical realization of a conjecture by Kitaev, on the basis of the operator-algebraic formulation of infinite quantum spin systems. Our main results are threefold…
math-ph2021
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…
math-ph2020★ 1 cited
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…