9 citations · 59 across the 16 of their papers we have counts for
16 papers
Orbit spaces and leaf spaces of foliations as generalized manifolds
Mark V. Losik
The paper gives a categorical approach to generalized manifolds such as orbit spaces and leaf spaces of foliations. It is suggested to consider these spaces as sets equipped with s…
Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]
Andreas Kriegl, Mark Losik, Peter W. Michor +1
We improve the main results in the paper from the title using a recent refinement of Bronshtein's theorem due to Colombini, Orrú, and Pernazza. They are then in general best possib…
A generalization of Puiseux's theorem and lifting curves over invariants
Mark Losik, Peter W. Michor, Armin Rainer
Let be a rational representation of a reductive linear algebraic group defined over on a finite dimensional complex vector space …
Smooth multiparameter perturbation of polynomials and operators
Mark Losik, Peter W. Michor, Armin Rainer
This paper has been withdrawn by the authors due to a gap in the proof of the main result (in 5.3).
Choosing roots of polynomials with symmetries smoothly
Mark Losik, Armin Rainer
The roots of a smooth curve of hyperbolic polynomials may not in general be parameterized smoothly, even not for any . A sufficient condition for the existence of a…
Cohomology for a group of diffeomorphisms of a manifold preserving an exact form
Mark Losik, Peter W. Michor
Let be a -manifold and $\om$ a -invariant exact -form on . We indicate when these data allow us to constract a cocycle on a group with values in the trivial …