Topology in shallow-water waves: a violation of bulk-edge correspondence

DOI10.1007/s00220-021-03982-7zbMath1467.35321arXiv2001.00439OpenAlexW3139160215MaRDI QIDQ2662972

Clément Tauber, Gian Michele Graf, Hansueli Jud

Publication date: 15 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.00439

zbMATH Keywords

shallow-water wavesrotatingoceanic layers

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Geophysical flows (76U60)

Related Items (9)

Is the continuum SSH model topological? ⋮ Topological charge conservation for continuous insulators ⋮ Bulk–edge correspondence for unbounded Dirac–Landau operators ⋮ Topological invariants for interface modes ⋮ Edge State Dynamics Along Curved Interfaces ⋮ Topology in shallow-water waves: a spectral flow perspective ⋮ Topological edge states of 1D chains and index theory ⋮ Topology of 2D Dirac operators with variable mass and an application to shallow-water waves ⋮ On spectral flow and Fermi arcs

Cites Work

• Unnamed Item
• Unnamed Item
• Bulk and boundary invariants for complex topological insulators. From \(K\)-theory to physics
• Topological invariants of edge states for periodic two-dimensional models
• Bulk-edge correspondence for two-dimensional topological insulators
• Derivation of ray optics equations in photonic crystals via a semiclassical limit
• Equivalence of topological and scattering approaches to quantum pumping
• Charge deficiency, charge transport and comparison of dimensions
• Edge states in honeycomb structures
• Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases
• Edge and impurity effects on quantization of Hall currents
• Odd viscosity
• Quantization of edge currents for continuous magnetic operators
• Topological protection of perturbed edge states
• Dimensional reduction and scattering formulation for even topological invariants
• Spontaneous edge currents for the Dirac equation in two space dimensions
• Quantization of interface currents
• The noncommutative geometry of the quantum Hall effect
• Chern number and edge states in the integer quantum Hall effect
• Simultaneous quantization of edge and bulk Hall conductivity
• Atmospheric and Oceanic Fluid Dynamics
• Topological origin of equatorial waves
• Transition modes of rotating shallow water waves in a channel
• Continuous bulk and interface description of topological insulators
• The bulk-edge correspondence for continuous honeycomb lattices
• Levinson's theorem and higher degree traces for Aharonov-Bohm operators
• A bulk-interface correspondence for equatorial waves

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