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

VIDEO LIBRARY


Internaional conference «Modern Mathematical Physics. Vladimirov-95» November 14, 2018 17:10, Moscow, Steklov Mathematical Institite, 8, Gubkina str., Conference hall

Levy Laplacian and instantons on manifold B. O. Volkov
Abstract: 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. Language: English