The author surveys some recent progress on the Toda system on a two-dimensional surface Sigma, arising in models from self-dual non-abelian Chern-Simons vortices, as well as in differential geometry. In particular, its variational structure is analysed, and the role of the topological join of the barycentric sets of Sigma is shown.

Variational analysis of Toda systems

MALCHIODI, ANDREA
2017

Abstract

The author surveys some recent progress on the Toda system on a two-dimensional surface Sigma, arising in models from self-dual non-abelian Chern-Simons vortices, as well as in differential geometry. In particular, its variational structure is analysed, and the role of the topological join of the barycentric sets of Sigma is shown.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/64426
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