Kunakovskaya O.V. Boundary topological indices of a pair of vector fields and existence theorems (abstract): Difference between revisions
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will be discussed. The method of topological boundary index is proposed. The topological boundary (bi)index <math>B (F_1, F_2)</math> is additive and admits also a local form. The construction for smooth fields <math>F_1, F_2</math> and some applications one can find in the monograph: Kunakovskaya O.V. Topological indices of a pair of fields (Topologicheskije indexi pary polej). Voronezh, Nauchnaya kniga, 2020. 88 pp., in Russian. | will be discussed. The method of topological boundary index is proposed. The topological boundary (bi)index <math>B (F_1, F_2)</math> is additive and admits also a local form. The construction for smooth fields <math>F_1, F_2</math> and some applications one can find in the monograph: Kunakovskaya O.V. Topological indices of a pair of fields (Topologicheskije indexi pary polej). Voronezh, Nauchnaya kniga, 2020. 88 pp., in Russian. | ||
| video = https://video.gdeq. | | video = https://video.gdeq.org/AMV-conf-20211216-Olga_Kunakovskaya.mp4 | ||
| slides = [[Media:KunakovskayaAMVconf2021slides.pdf|KunakovskayaAMVconf2021slides.pdf]] | | slides = [[Media:KunakovskayaAMVconf2021slides.pdf|KunakovskayaAMVconf2021slides.pdf]] | ||
| references = | | references = | ||
Latest revision as of 08:40, 4 January 2025
Speaker: Olga Kunakovskaya
Title: Boundary topological indices of a pair of vector fields and existence theorems
Abstract:
The problem of the existence of solutions of equations of the type
will be discussed. The method of topological boundary index is proposed. The topological boundary (bi)index is additive and admits also a local form. The construction for smooth fields and some applications one can find in the monograph: Kunakovskaya O.V. Topological indices of a pair of fields (Topologicheskije indexi pary polej). Voronezh, Nauchnaya kniga, 2020. 88 pp., in Russian.
Video
Slides: KunakovskayaAMVconf2021slides.pdf
Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.