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math-ph2021
The Bott index of two unitary operators and the integer quantum Hall effect
Daniele Toniolo
The Bott index of two unitary operators on an infinite dimensional Hilbert space is defined. homotopic invariance with respect to multiplicative unitary perturbations of the type i…
math-ph2018★ 3 cited
Dimensional reduction and scattering formulation for even topological invariants
Hermann Schulz-Baldes, Daniele Toniolo
Strong invariants of even-dimensional topological insulators of independent Fermions are expressed in terms of an invertible operator on the Hilbert space over the boundary. It is…