Cohomology Algebra of Orbit Spaces of Free Involutions on Some Wall Manifolds
نویسندگان
چکیده
In this paper, we investigate the existence of free involutions on some Wall manifolds and compute mod 2 cohomology algebra correspondent orbit space.
منابع مشابه
Cohomology Algebra of Orbit Spaces of Free Involutions on Lens Spaces
We determine the possible cohomology algebra of orbit space of any free involution on a mod-2 cohomology lens space X using the Leray spectral sequence associated to the Borel fibration X →֒ XZ2 −→ BZ2 . As an application we show that if X is a mod-2 cohomology lens space of dimension 2m − 1 where 4 ∤ m, then there does not exist any Z2-equivariant map S n → X for n ≥ 2, where S is equipped with...
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ژورنال
عنوان ژورنال: Bulletin Of The Brazilian Mathematical Society, New Series
سال: 2021
ISSN: ['1678-7544', '1678-7714']
DOI: https://doi.org/10.1007/s00574-021-00258-5