Geodesic
On the Fibres of Mishchenko-Fomenko Systems
Documenta mathematica, Tome 25 (2020), pp. 1195-1239
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This work is concerned with Mishchenko and Fomenko's celebrated theory of completely integrable systems on a complex semisimple Lie algebra g. Their theory associates a maximal Poisson-commutative subalgebra of C[g] to each regular element a∈g, and one can assemble free generators of this subalgebra into a moment map Fa​:g→Cb. This leads one to pose basic structural questions about Fa​ and its fibres, e.g. questions concerning the singular points and irreducible components of such fibres.
DOI : 10.4171/dm/774
Classification : 17B63, 17B80, 22E46
Mots-clés : integrable system, Mishchenko-Fomenko subalgebra, semisimple Lie algebra 
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     title = {On the {Fibres} of {Mishchenko-Fomenko} {Systems}},
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Peter Crooks; Markus Röser. On the Fibres of Mishchenko-Fomenko Systems. Documenta mathematica, Tome 25 (2020), pp. 1195-1239. doi: 10.4171/dm/774

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