On the K-theoretic classification of dynamically stable systems
From MaRDI portal
Publication:5226414
DOI10.1142/S0129055X1950003XzbMath1415.16009arXiv1804.10111OpenAlexW2798951234WikidataQ129188187 ScholiaQ129188187MaRDI QIDQ5226414
Kiyonori Gomi, Giuseppe De Nittis
Publication date: 31 July 2019
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10111
\(K\)-theoryKrein spacestopological phases\(\mathcal{P} \mathcal{T}\) and \(\mathcal{C}\) symmetries
Grothendieck groups, (K)-theory, etc. (16E20) (K)-theory and operator algebras (including cyclic theory) (46L80) (K)-theory and operator algebras (19K99) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
Related Items (3)
A Fredholm theory on Krein spaces and its application to Weyl-type theorems and homogeneous equations ⋮ The cohomology invariant for class DIII topological insulators ⋮ Twisted crystallographic T-duality via the Baum–Connes isomorphism
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the \(K\)-theoretic classification of topological phases of matter
- Twisted equivariant matter
- Effective light dynamics in perturbed photonic crystals
- Classification of ``real Bloch-bundles: topological quantum systems of type AI
- Controlled topological phases and bulk-edge correspondence
- Krein-space formulation of \(\mathcal{PT}\) symmetry, \(\mathcal{CPT}\)-inner products, and pseudo-Hermiticity
- Central extensions and physics
- Canonical forms of unbounded unitary operators in Krein spaces
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Wigner's theorem on symmetries in indefinite metric spaces
- Point interactions, metamaterials, and \(\mathcal{PT}\)-symmetry
- The Schrödinger formalism of electromagnetism and other classical waves -- how to make quantum-wave analogies rigorous
- Pseudo-Hermiticity and theory of singular perturbations
- Classifying Hilbert bundles
- The homotopy type of the unitary group of Hilbert space
- On the \(C^*\)-algebraic approach to topological phases for insulators
- The perturbed Maxwell operator as pseudodifferential operator
- Wave operators and asymptotic solutions of wave propagation problems of classical physics
- Scattering theory with two Hilbert spaces
- Projective unitary antiunitary representations of locally compact groups
- Index theory for skew-adjoint Fredholm operators
- Graded Brauer groups and K-theory with local coefficients
- Zur Spektraltheorie J-selbstadjungierter Operatoren
- On Clifford algebras and their representations
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case
- Complex Extension of Quantum Mechanics
- Time-Reversal Symmetry in Non-Hermitian Systems
- Towards theory of C-symmetries
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Must a Hamiltonian be Hermitian?
- Loop groups and twisted K -theory I
- Periodic table for topological insulators and superconductors
- On Pseudo-Hermitian Operators with Generalized C-symmetries
- L2-Theory of the Maxwell operator in arbitrary domains
- EXTENSION THEORY FOR OPERATORS AND SPACES WITH INDEFINITE METRIC
- ExactPT-symmetry is equivalent to Hermiticity
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Topological edge states for disordered bosonic systems
- On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- The Operator (sgn x) d 2 dx 2 is Similar to a Selfadjoint Operator in L 2 ( R )
- Hilbert space idempotents and involutions
- Topological properties of the unitary group
- Champs continus d'espaces hilbertiens et de $C^*$-algèbres
- K-THEORY AND REALITY
- Symplectic Bundles and $KR$-Theory.
- Bakerian Lecture - The physical interpretation of quantum mechanics
- On Dirac's New Method of Field Quantization
- Floquet theory for partial differential equations
- Theory of operator algebras I.
This page was built for publication: On the K-theoretic classification of dynamically stable systems
