The closure of the space of homeomorphisms on a manifold. The piecewise linear case
The cohomology of holomorphic self maps of the Riemann sphere.
The conformal structure of Riemann surfaces with boundary parametrizing minimal surfaces.
The family of isometric superconformal harmonic maps and the affine Toda equations.
The geometry of the moduli space of CP2 instantons.
The Lie group of real analytic diffeomorphisms is not real analytic
We construct an infinite-dimensional real analytic manifold structure on the space of real analytic mappings from a compact manifold to a locally convex manifold. Here a map is defined to be real analytic if it extends to a holomorphic map on some neighbourhood of the complexification of its domain. As is well known, the construction turns the group of real analytic diffeomorphisms into a smooth locally convex Lie group. We prove that this group is regular in the sense of Milnor. ...
The space : minimal connection and optimal lifting
The space of Lipschitz maps from a compactum to an absolute neighborhood LIP extensor
The symplectic geometry of affine connenctions on surfaces.
The tangent bundle of an almost-complex free loopspace.
Topologically -determined map germs are topologically cone-like