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

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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

[math]\displaystyle{ 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]\displaystyle{ B (F_1, F_2) }[/math] is additive and admits also a local form. The construction for smooth fields [math]\displaystyle{ 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.


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