Cohomology algebra of orbit spaces of free involutions on some Wall manifolds

TL;DR

This paper explores free involutions on Wall manifolds and calculates the mod 2 cohomology algebra of their orbit spaces, contributing to the understanding of their topological properties.

Contribution

It introduces new results on the existence of free involutions on Wall manifolds and explicitly computes the mod 2 cohomology algebra of the resulting orbit spaces.

Findings

Existence of free involutions on certain Wall manifolds

Explicit computation of mod 2 cohomology algebra of orbit spaces

Insights into the topological structure of these orbit spaces

Abstract

In this paper, we investigate the existence of free involutions on some Wall manifolds and we compute the mod 2 cohomology algebra of the correspondent orbit space.