activity
20122025
most citedHarmonic Maps and Hypersymplectic Geometry

4 citations · 7 across the 6 of their papers we have counts for

collaborators

6 papers

math.DG2025

Quaternionic Kähler manifolds fibered by solvsolitons

Vicente Cortés, Alejandro Gil-García, Markus Röser

This paper is concerned with the geometry of principal orbits in quaternionic Kähler manifolds of cohomogeneity one. We focus on the complete cohomogeneity one examples obtaine…

math.DG2021★ 3 cited

Complete quaternionic Kähler manifolds with finite volume ends

V. Cortés, M. Röser, D. Thung

We construct examples of complete quaternionic Kähler manifolds with an end of finite volume, which are not locally homogeneous. The manifolds are aspherical with fundamental group…

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…

math.DG2012★ 4 cited

Harmonic Maps and Hypersymplectic Geometry

Markus Röser

We study the hypersymplectic geometry of the moduli space of solutions to Hitchin's harmonic map equations on a -bundle. This is the split-signature analogue of Hitchin's Higgs…