Jaworowski [5] has determined the index of a lens space with a free action of the group G = S-1 and applied it to prove a Borsuk-Ulam-Yang type theorem for equivariant mappings from L-p(2m+1) -> C-k. In this paper, we generalize the above results to a cohomology lens space. ...
We determine the possible $mod 2$ cohomology algebra of orbit spaces of free involutions on finitistic $mod 2$ cohomology lens spaces and projective spaces. We also give applications to $Z_{2}$ -equivariant maps from spheres to such spaces. Outlines of proofs are given and the details will...
Moreover, given that the Euler characteristic χ(Xp,q¯) is simply given by twice the area of the base of the tetrahedron and that odd Betti numbers vanish, we can easily compute the dimension of the second cohomology group as(20)b2(Xp,q¯)=χ(Xp,q¯)−b0(Xp,q¯)−b4(...
The existence of such a model has various implications on the structure of the cohomology jump loci of M and of the representation varieties of 蟺1(M). As an application, we show that compact Sasakian manifolds of dimension 2n + 1 are (n 1)-formal, and that their fundamental groups are...
We use ku-cohomology to determine lower bounds for the topological complexity of 2-torsion lens spaces. In the process, we give an almost-complete description of the tensor product of two copies of the ku-homology of infinite mod 2^e lens space, proving a conjecture of Gonzalez about the ...
On the Splitting of K-Cohomology of Lens Space L^n (p^d)Koichi HIRATA
We replace singular cohomology by connective complex K-theory, and weighted cup-length arguments by considerations with biequivariant maps on spheres to improve on Farberu2013Grant's bounds by arbitrarily large amounts. Our calculations are based on the identification of key elements conjectured to ...
We replace singular cohomology by connective complex K-theory, and weighted cup-length arguments by considerations with biequivariant maps on spheres to improve on Farber-Grant's bounds by arbitrarily large amounts. Our calculations are based on the identification of key elements conjectured to ...
Mathematics Sasakian Geometry on Lens Space Bundles over Riemann Surfaces THE UNIVERSITY OF NEW MEXICO Charles Boyer CastanedaCandelarioWe compute the cohomology ring of the join of a 3 manifold and the sphere and we see the dependence of that cohomology on one parameter in the join....
设( M7+ k,T)是光滑闭流形上的一个非平凡光滑对合 ,它的不动点集为 7维透镜空间 L3( p) 。 2. In this paper, the operative feature of generators of cohomology rings for lens space is studied. 本文讨论了透镜空间 L1( p)的上同调环中生成元的运算性质 ,进而利用 L1( p)的 KO -结构得到...