Finiteness obstructions and cocompact actions on Sm x Rn.
Finite-order algebraic automorphisms of affine varieties.
Fixed point free low dimensional real algebraic actions of A5 on contractible varieties.
Fixed point sets of smooth group actions on disks and Euclidean spaces. A survey
Fixed Points of Periodic Differentiable Maps.
Fixed-Point Sets of Group Actions on Finite Acyclic Complexes.
Flexibility of surface groups in classical simple Lie groups
We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is (resp. , odd) and the surface group is maximal in some (resp. ). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.
Foliations by planes and Lie group actions
Let N be a closed orientable n-manifold, n ≥ 3, and K a compact non-empty subset. We prove that the existence of a transversally orientable codimension one foliation on N∖K with leaves homeomorphic to , in the relative topology, implies that K must be connected. If in addition one imposes some restrictions on the homology of K, then N must be a homotopy sphere. Next we consider C² actions of a Lie group diffeomorphic to on N and obtain our main result: if K, the set of singular points of the...
Free groups of semigroups in semi-simple Lie groups.
Generalizing a realization result of B. Zimmermann and K.B. Lee to infranilmanifolds.
Generators of the Z/p Bordism Ring. Serendipity.
Geometry of Poisson structures.
Group actions on fibered three-manifolds.
Group actions on homology spheres.
Group actions on quasi-symplectic manifolds.
Group actions on rational homology spheres
We study the homology of the fixed point set on a rational homology sphere under the action of a finite group.
Group Actions on the Chern Manifold.
Groups in the category of f-manifolds
Groups of piecewise linear homeomorphisms of the real line.
Halves of a real Enriques surface.