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 and manifolds with collars.
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 and the K-theoretic trace
The relationship between fixed point theory and K-theory is explained, both classical Nielsen theory (versus ) and 1-parameter fixed point theory (versus ). In particular, various zeta functions associated with suspension flows are shown to come in a natural way as “traces” of “torsions” of Whitehead and Reidemeister type.
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 braids.
Fixed Points and Braids. II.
Fixed points and homotopy fixed points.
Fixed points for positive permutation braids
Making use of the Nielsen fixed point theory, we study a conjugacy invariant of braids, which we call the level index function. We present a simple algorithm for computing it for positive permutation cyclic braids.
Fixed points of actions of P-groups on projective varieties.
Fixed points of discrete nilpotent group actions on
We prove that for each integer there is an open neighborhood of the identity map of the 2-sphere , in topology such that: if is a nilpotent subgroup of with length of nilpotency, generated by elements in , then the natural -action on has nonempty fixed point set. Moreover, the -action has at least two fixed points if the action has a finite nontrivial orbit.
Fixed Points of Periodic Differentiable Maps.
Fixed points of periomorphisms
Fixed sets and free subgroups of groups acting on metric spaces.
Fixed simplex property for retractable complexes.
Fixed-Point Sets of Group Actions on Finite Acyclic Complexes.
Fix-finite and fixed point free approximations of symmetric product maps