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Almost invariant subspaces in the topologically non-trivial setting: a pedestrian approach
Horia Cornean, Gabriele Peluso, Mikkel Hviid Thorn
We present a self-contained, algorithmic construction of almost invariant subspaces [Panati et al. (2003), De Nittis and Panati (2010), Freund and Teufel (2016)] for Hofstadter-lik…
Absolute and relative invariants for low-dimensional topological insulators
Federico Manzoni, Domenico Monaco, Gabriele Peluso
[An extended abstract is provided in-text] Motivated by topological insulators, this paper analyzes classification schemes for projection-valued maps on -dimensional tori, $d \l…
The Zak phase in topologically insulating chains: invariants and limitations
Federico Manzoni, Domenico Monaco, Gabriele Peluso
In this work we investigate the topological content of the Zak phase in one-dimensional translation-invariant topological insulators endowed with time-reversal, particle-hole and/o…
Splitting obstructions and invariants in time-reversal symmetric topological insulators
Alessandro Ferreri, Domenico Monaco, Gabriele Peluso
The Fu-Kane-Mele index characterizes two-dimensional time-reversal symmetric topological phases of matter. We shed some light on some features of this index by inves…
Moduli space of spin connections on three-dimensional homogeneous spaces
Matteo Bruno, Gabriele Peluso
In this manuscript, we aim to classify and characterize the moduli space of homogeneous spin connections and homogeneous SU(2) connections on three-dimensional Riemannian homogeneo…
A invariant for chiral and particle-hole symmetric topological chains
Domenico Monaco, Gabriele Peluso
We define a -valued topological and gauge invariant associated to any 1-dimensional, translation-invariant topological insulator which satisfies either particle-hole…