On a diffeological group realization of certain generalized symmetrizable Kac-Moody Lie algebras.
On groups of smooth maps into a simple compact Lie group.
On infinite-dimensional grassmannians and their quantum deformations
On the transverse Scalar Curvature of a Compact Sasaki Manifold
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the...
Ordinary differential equations on infinite dimensional manifolds.