A study is made of algebraic curves and surfaces in the flag manifold F= SU (3)/T 2, and their
configuration relative to the twistor projection π from F to the complex projective plane P 2 …

Simply connected manifolds of positive sectional curvature are speculated to have a rigid
topological structure. In particular, they are conjectured to be rationally elliptic, ie to have …

We describe a generalization of GKM theory for actions of arbitrary compact connected Lie
groups. To an action satisfying the non-abelian GKM conditions we attach a graph encoding …

$\Gamma $-symmetric spaces are a vast generalization of symmetric spaces. Previous
results make it conceivable that their isotropy action is equivariantly formal, and we provide …

The focus of this thesis are certain U (1)-manifolds, whose fixed point manifold is half-
dimensional. We show that under certain additional conditions, the rational cohomology ring …

We develop the theory of halving spaces to obtain lower bounds in real enumerative
geometry. Halving spaces are topological spaces with an action of a Lie group Γ with …

Halving spaces and lower bounds in real enumerative geometry Page 1 T Algebraic & Geometric
Topology msp Volume 22 (2022) Halving spaces and lower bounds in real enumerative …

We define a compactification of symmetric spaces of noncompact type, seen as spaces of
isometry classes of marked lattices, analogous to the Thurston compactification of the …

Dans cette thèse, nous nous intéressons à des compactifications géométriques variées.
Nous décrivons l'espace des sous-groupes fermés du groupe RxZ. Nous étudions la …

We consider the manifold Fln (ℍ)= Sp (n)/Sp (1) n of all complete flags in ℍn, where ℍ is the
skew-field of quaternions. We study its equivariant complex K-theory rings with respect to the …