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Mathematical Aspects of Topological Phases
This special collection contains original research and review articles on all aspects of topological phases of a theoretical or mathematical nature.
Guest Editors: Wojciech De Roeck, Gian Michele Graf, Bruno Nachtergaele, and Hal Tasaki

Methods of Mathematical Physics
Topological spectral bands with frieze groups
Available to Purchase
Fabian R. Lux; Tom Stoiber; Shaoyun Wang; Guoliang Huang; Emil Prodan
Many-Body and Condensed Matter Physics
Homotopy of periodic 2 × 2 matrices
Open Access
Joseph E. Avron; Ari M. Turner
Methods of Mathematical Physics
Topological insulators and K-theory
Available to Purchase
Ralph M. Kaufmann; Dan Li; Birgit Wehefritz–Kaufmann
Many-Body and Condensed Matter Physics
2D Fermionic SPT with CRT symmetry
Available to Purchase
Yoshiko Ogata
Many-Body and Condensed Matter Physics
Spectral localization for semimetals and Callias operators
Available to Purchase
Hermann Schulz-Baldes; Tom Stoiber
Many-Body and Condensed Matter Physics
Ultra-generalized Wannier bases: Are they relevant to topological transport?
Available to Purchase
Massimo Moscolari; Gianluca Panati
Many-Body and Condensed Matter Physics
Haruki Watanabe; Meng Cheng; Yohei Fuji
Methods of Mathematical Physics
Collin Mark Joseph; Ralf Meyer
Many-Body and Condensed Matter Physics
Rigorous index theory for one-dimensional interacting topological insulators
Available to Purchase
Hal Tasaki
Many-Body and Condensed Matter Physics
Angelo Lucia; Amanda Young
Many-Body and Condensed Matter Physics
On topology of the moduli space of gapped Hamiltonians for topological phases
Available to Purchase
Po-Shen Hsin; Zhenghan Wang
Many-Body and Condensed Matter Physics
Jürg Fröhlich
Partial Differential Equations
Topological charge conservation for continuous insulators
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Guillaume Bal
Many-Body and Condensed Matter Physics
Bragg spectrum, K-theory, and gap labeling of aperiodic solids
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Johannes Kellendonk
Many-Body and Condensed Matter Physics
The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins
Available to Purchase
Daisuke Maekawa; Hal Tasaki
Methods of Mathematical Physics
A new light on the FKMM invariant and its consequences
Available to Purchase
Giuseppe De Nittis; Kiyonori Gomi
REVIEW ARTICLES
Bosonic topological insulators at the superconductor-to-superinsulator transition
Available to Purchase
M. C. Diamantini; C. A. Trugenberger
Many-Body and Condensed Matter Physics
Non-local order parameters for fermion chains via the partial transpose
Available to Purchase
L. P. Mayer
Many-Body and Condensed Matter Physics
Topology vs localization in synthetic dimensions
Available to Purchase
Domenico Monaco; Thaddeus Roussigné
REVIEW ARTICLES
Joscha Henheik; Tom Wessel