English

Concordance structure set of connected sum of projective spaces

Algebraic Topology 2024-03-06 v1

Abstract

In this paper, the concordance structure set of connected sums of complex and quaternionic projective spaces in the real nn-dimensional range with 8n168\leq n\leq 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.

Keywords

Cite

@article{arxiv.2403.02341,
  title  = {Concordance structure set of connected sum of projective spaces},
  author = {Priyanka Magar-Sawant},
  journal= {arXiv preprint arXiv:2403.02341},
  year   = {2024}
}

Comments

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