Kunakovskaya O.V. Boundary topological indices of a pair of vector fields and existence theorems (abstract): Difference between revisions

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<math>F_2 (x)=\lambda F_1 (x)</math>
<math>F_2 (x)=\lambda F_1 (x)</math>


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.
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Revision as of 21:10, 15 November 2021

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

F2(x)=λF1(x)

will be discussed. The method of topological boundary index is proposed. The topological boundary (bi)index B(F1,F2) is additive and admits also a local form. The construction for smooth fields F1,F2 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.


Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.