3 papers
math-ph2024
A space-adiabatic approach for bulk-defect correspondences in lattice models of topological insulators
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
In space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we e…
math-ph2024
A spectral localizer approach to strong topological invariants in the mobility gap regime
Tom Stoiber
Topological phases of gapped one-particle Hamiltonians with (anti)-unitary symmetries are classified by strong topological invariants according to the Altland-Zirnbauer table. Thos…
math-ph2024
The generators of the K-groups of the sphere
Hermann Schulz-Baldes, Tom Stoiber
This note presents an elementary iterative construction of the generators for the complex -groups $K_i(C(\SM^d))$ of the -dimensional spheres. These generators are explicitly…