We relate the Toda flow on the "'p-part" of a semi-simple Lie algebra to the topology of real Hessenberg manifolds, and we obtain their rood2 Betti numbers by reversing Morse inequalities using a theorem of Floyd and a result on the Weyl group.
Toda flows and real Hessenberg manifolds
DE MARI CASARETO DAL VERME, FILIPPO;
1999-01-01
Abstract
We relate the Toda flow on the "'p-part" of a semi-simple Lie algebra to the topology of real Hessenberg manifolds, and we obtain their rood2 Betti numbers by reversing Morse inequalities using a theorem of Floyd and a result on the Weyl group.
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