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 $8\leq n\leq 16$ 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.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2024
- DOI:
- 10.48550/arXiv.2403.02341
- arXiv:
- arXiv:2403.02341
- Bibcode:
- 2024arXiv240302341M
- Keywords:
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- Mathematics - Algebraic Topology
- E-Print:
- 12 pages. arXiv admin note: substantial text overlap with arXiv:2302.02301