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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2306.16911 |
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| _version_ | 1866929243901919232 |
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| author | Magar-Sawant, Priyanka |
| author_facet | Magar-Sawant, Priyanka |
| contents | This paper determines tangential structure set of $\#_k\mathbb{C}P^{n}$, for $3\leq n \leq 7$, by analyzing their stable cohomotopy groups and $KO$-groups. As a consequence, it establishes the existence of manifolds with tangential homotopy type but not homeomorphic to $\#_k\mathbb{C}P^{n}$ for $n=4,5$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16911 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tangential smoothings of $k$-fold connected sum of complex projective spaces Magar-Sawant, Priyanka Algebraic Topology 55Q10, 55R50, 55Q55 This paper determines tangential structure set of $\#_k\mathbb{C}P^{n}$, for $3\leq n \leq 7$, by analyzing their stable cohomotopy groups and $KO$-groups. As a consequence, it establishes the existence of manifolds with tangential homotopy type but not homeomorphic to $\#_k\mathbb{C}P^{n}$ for $n=4,5$. |
| title | Tangential smoothings of $k$-fold connected sum of complex projective spaces |
| topic | Algebraic Topology 55Q10, 55R50, 55Q55 |
| url | https://arxiv.org/abs/2306.16911 |