Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces Full article
| Journal |
Proceedings of the Steklov Institute of Mathematics
ISSN: 0081-5438 , E-ISSN: 1531-8605 |
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| Output data | Year: 2024, Volume: 325, Pages: 280-291 Pages count : 12 DOI: 10.1134/S0081543824020160 | ||
| Tags | differential operators with periodic coefficients, floquet–bloch varieties, non-simply connected manifolds, schrÖdinger operator, dirac operator | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 |
Министерство науки и высшего образования РФ Mathematical Center in Akademgorodok |
075-15-2019-1613, 075-15-2022-281 |
Abstract:
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.
Cite:
Taimanov I.A.
Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces
Proceedings of the Steklov Institute of Mathematics. 2024. V.325. P.280-291. DOI: 10.1134/S0081543824020160 WOS Scopus РИНЦ OpenAlex
Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces
Proceedings of the Steklov Institute of Mathematics. 2024. V.325. P.280-291. DOI: 10.1134/S0081543824020160 WOS Scopus РИНЦ OpenAlex
Original:
Тайманов И.А.
Функции Флоке-Блоха на неодносвязных многообразиях, потоки Ааронова-Бома и конформные инварианты погруженных поверхностей
Труды Математического института имени В.А. Стеклова. 2024. Т.325. С.297-308. DOI: 10.4213/tm4396 РИНЦ OpenAlex
Функции Флоке-Блоха на неодносвязных многообразиях, потоки Ааронова-Бома и конформные инварианты погруженных поверхностей
Труды Математического института имени В.А. Стеклова. 2024. Т.325. С.297-308. DOI: 10.4213/tm4396 РИНЦ OpenAlex
Dates:
| Submitted: | Feb 4, 2024 |
| Accepted: | Mar 20, 2024 |
| Published print: | Oct 22, 2024 |
| Published online: | Oct 22, 2024 |
Identifiers:
| Web of science: | WOS:001340397900008 |
| Scopus: | 2-s2.0-85207485022 |
| Elibrary: | 73531043 |
| OpenAlex: | W4403628409 |
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