Видеотека: B. O. Volkov, Levy Laplacian and instantons on manifold

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Международная конференция «Современная математическая физика. Владимиров-95» 14 ноября 2018 г. 17:10, г. Москва, г. Москва, ул. Губкина, д. 8, конференц-зал МИАН (9 этаж)

Levy Laplacian and instantons on manifold B. O. Volkov
Аннотация: One of the main causes for the interest in the Levy Laplacian is its connection with the gauge fields. We introduce the Levy Laplacian parameterized by the curve in $SO(4)$. This operator acts on the space of sections of the fiber bundle over the space of paths in a 4-dimensional Riemannian manifold. The connection of the Laplace equation for this Laplacian with the instantons on the 4- dimensional Riemannian manifold is studied. Such a relationship was previously considered by the author in the flat case. Язык доклада: английский