Geodesic
Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces
Informatics and Automation, Geometry, Topology, and Mathematical Physics, Tome 325 (2024), pp. 297-308 Cet article a éte moissonné depuis la source Math-Net.Ru

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We define spectral (Bloch) varieties of multidimensional differential operators on non-simply connected manifolds. In their terms we give a description of the analytic dependence of the spectra of magnetic Laplacians on non-simply connected manifolds on the values of the Aharonov–Bohm fluxes, construct analogs of spectral curves for two-dimensional Dirac operators on Riemann surfaces, and thereby find new conformal invariants of immersions of surfaces into three- and four-dimensional Euclidean spaces.
Keywords: differential operators with periodic coefficients, Floquet–Bloch varieties, non-simply connected manifolds, Schrödinger operator, Dirac operator. 
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     journal = {Informatics and Automation},
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I. A. Taimanov. Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces. Informatics and Automation, Geometry, Topology, and Mathematical Physics, Tome 325 (2024), pp. 297-308. http://geodesic.mathdoc.fr/item/TRSPY_2024_325_a15/

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