Showing math.SGShow all
3 papers · 1 filter
math.SG2020
The log symplectic geometry of Poisson slices
Peter Crooks, Markus Röser
Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-se…
math.SG2020
Hessenberg varieties and Poisson slices
Peter Crooks, Markus Röser
This work pursues a circle of Lie-theoretic ideas involving Hessenberg varieties, Poisson geometry, and wonderful compactifications. In more detail, one may associate a symplectic…
math.SG2019
On the fibres of Mishchenko-Fomenko systems
Peter Crooks, Markus Röser
This work is concerned with Mishchenko and Fomenko's celebrated theory of completely integrable systems on a complex semisimple Lie algebra . Their theory associates…