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math.AG2018
Hessenberg varieties, Slodowy slices, and integrable systems
Hiraku Abe, Peter Crooks
This work is intended to contextualize and enhance certain well-studied relationships between Hessenberg varieties and the Toda lattice, thereby building on the results of Kostant,…
math.SG2018
Slodowy slices and the complete integrability of Mishchenko-Fomenko subalgebras on regular adjoint orbits
Peter Crooks, Stefan Rosemann, Markus Roeser
This work is concerned with Mishchenko-Fomenko subalgebras and their restrictions to the adjoint orbits in a finite-dimensional complex semisimple Lie algebra. In this setting, it…