Concordance structure set of connected sum of projective spaces

Abstract

In this paper, the concordance structure set of connected sums of complex and quaternionic projective spaces in the real $n$-dimensional range with $8\le n\le 16$ is computed. It is demonstrated that the concordance inertia group of a connected sum equals the sum of individual concordance inertia groups. Furthermore, the concordance structure sets of manifolds and their connected sums are compared.

12 pages. arXiv admin note: substantial text overlap with arXiv:2302.02301