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• W3084430044 abstract "The equivalence of the anti-selfduality Yang–Mills equations on the four-dimensional orientable Riemannian manifold and the Laplace equations for some infinite-dimensional Laplacians is proved. A class of modified Lévy Laplacians parameterized by the choice of a curve in the group [Formula: see text] is introduced. It is shown that a connection is an instanton (a solution of the anti-selfduality Yang–Mills equations) if and only if the parallel transport generalized by this connection is a solution of the Laplace equations for some three modified Lévy Laplacians from this class." @default.
• W3084430044 created "2020-09-14" @default.
• W3084430044 creator A5086103000 @default.
• W3084430044 date "2020-06-01" @default.
• W3084430044 modified "2023-09-29" @default.
• W3084430044 title "Lévy Laplacians and instantons on manifolds" @default.
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• W3084430044 doi "https://doi.org/10.1142/s0219025720500083" @default.
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