Smooth structures on PL-manifolds of dimensions between 8 and 10
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911770462912512 |
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| author | Basu, Samik Kasilingam, Ramesh Magar-Sawant, Priyanka |
| author_facet | Basu, Samik Kasilingam, Ramesh Magar-Sawant, Priyanka |
| contents | In this paper, we identify the concordance classes of smooth structures on $PL$-manifolds of dimension between $8$ and $10$ in terms of the cohomology and Steenrod operations. This leads to the computation of the homotopy inertia groups. Finally we discuss the special cases of Lens spaces and real projective spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02301 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Smooth structures on PL-manifolds of dimensions between 8 and 10 Basu, Samik Kasilingam, Ramesh Magar-Sawant, Priyanka Algebraic Topology Primary: 57N70, 57R55, Secondary: 55P10, 55P42, 57Q60 In this paper, we identify the concordance classes of smooth structures on $PL$-manifolds of dimension between $8$ and $10$ in terms of the cohomology and Steenrod operations. This leads to the computation of the homotopy inertia groups. Finally we discuss the special cases of Lens spaces and real projective spaces. |
| title | Smooth structures on PL-manifolds of dimensions between 8 and 10 |
| topic | Algebraic Topology Primary: 57N70, 57R55, Secondary: 55P10, 55P42, 57Q60 |
| url | https://arxiv.org/abs/2302.02301 |