Factorizable groups of homeomorphisms
Feuilletages riemanniens singuliers transversalement intégrables
Fibrations in symplectic topology.
Finite actions on the Klein four-orbifold and prism manifolds
We describe the finite group actions, up to equivalence, which can act on the orbifold , and their quotient types. This is then used to consider actions on prism manifolds which preserve a longitudinal fibering, but do not leave any Heegaard Klein bottle invariant. If is such an action, we show that and fibers over a certain collection of 2-orbifolds with positive Euler characteristic which are covered by . For the standard actions, we compute the fundamental group of and indicate when...
Finite group actions on 3-manifolds.
Finite group actions on acyclic -complexes
Finite Group Actions on Homotopy Complex Projective Spaces.
Finite group actions on products of spheres.
Finiteness obstructions and cocompact actions on Sm x Rn.
Finite-order algebraic automorphisms of affine varieties.
Five dimensional Bieberbach groups with trivial centre.
Five-dimensional biquotients.
Fixed point data of finite groups acting on 3-manifolds.
Fixed point free equivariant homotopy classes
Fixed point free low dimensional real algebraic actions of A5 on contractible varieties.
Fixed point indices of equivariant maps and Möbius inversions.
Fixed point sets of smooth group actions on disks and Euclidean spaces. A survey
Fixed point theory for homogeneous spaces, II
Let G be a compact connected Lie group, K a closed subgroup and M = G/K the homogeneous space of right cosets. Suppose that M is orientable. We show that for any selfmap f: M → M, L(f) = 0 ⇒ N(f) = 0 and L(f) ≠ 0 ⇒ N(f) = R(f) where L(f), N(f), and R(f) denote the Lefschetz, Nielsen, and Reidemeister numbers of f, respectively. In particular, this implies that the Lefschetz number is a complete invariant, i.e., L(f) = 0 iff f is deformable to be fixed point free. This was previously known under...
Fixed points and homotopy fixed points.
Fixed points of actions of P-groups on projective varieties.