49 citations · 383 across the 49 of their papers we have counts for
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Spectral flows associated to flux tubes
Giuseppe De Nittis, Hermann Schulz-Baldes
When a flux quantum is pushed through a gapped two-dimensional tight-binding operator, there is an associated spectral flow through the gap which is shown to be equal to the index…
Spectral flows of dilations of Fredholm operators
Giuseppe De Nittis, Hermann Schulz-Baldes
Given an essentially unitary contraction and an arbitrary unitary dilation of it, there is a naturally associated spectral flow which is shown to be equal to the index of the opera…
Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII
Giuseppe De Nittis, Kiyonori Gomi
We provide a classification of type AII topological quantum systems in dimension d=1,2,3,4. Our analysis is based on the construction of a topological invariant, the FKMM-invariant…
On the Role of Symmetries in the Theory of Photonic Crystals
Giuseppe De Nittis, Max Lein
We discuss the role of the symmetries in photonic crystals and classify them according to the Cartan-Altland-Zirnbauer scheme. Of particular importance are complex conjugation C an…
Classification of "Real" Bloch-bundles: Topological quantum systems of type AI
Giuseppe De Nittis, Kiyonori Gomi
We provide a classification of type AI topological quantum systems in dimension d=1,2,3,4 which is based on the equivariant homotopy properties of "Real" vector bundles. This allow…