32 citations · 81 across the 11 of their papers we have counts for
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math-ph2019★ 4 cited
Levy Laplacians and instantons on manifolds
Boris O. Volkov
The equivalence of the anti-selfduality Yang-Mills equations on the 4-dimensional orientable Riemannian manifold and Laplace equations for some infinite dimensional Laplacians is p…
math-ph2019★ 8 cited
Point disclinations in the Chern-Simons geometric theory of defects
M. Katanaev, B. Volkov
We use the Chern-Simons action for a SO(3)-connection for the description of point disclinations in the geometric theory of defects. The most general spherically symmetric SO(3)-co…
math-ph2019★ 6 cited
Levy Laplacian on manifold and Yang-Mills heat flow
Boris O. Volkov
A covariant definition of the Levy Laplacian on an infinite dimensional manifold is introduced. It is shown that a time-depended connection in a finite dimensional vector bundle is…