Computations on cobordism groups of projected immersions
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909742026194944 |
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| author | Csépai, András |
| author_facet | Csépai, András |
| contents | We use a classifying space construction by Szűcs and Terpai to extend Salomonsen's exact sequence from cobordism groups of immersions to cobordism groups of hyperplane projections of immersions with prescribed singularities. We apply this to obtain results on these cobordism groups in small and large codimensional cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19465 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Computations on cobordism groups of projected immersions Csépai, András Geometric Topology Algebraic Topology 57R90 (Primary) 57R42, 57R45 (Secondary) We use a classifying space construction by Szűcs and Terpai to extend Salomonsen's exact sequence from cobordism groups of immersions to cobordism groups of hyperplane projections of immersions with prescribed singularities. We apply this to obtain results on these cobordism groups in small and large codimensional cases. |
| title | Computations on cobordism groups of projected immersions |
| topic | Geometric Topology Algebraic Topology 57R90 (Primary) 57R42, 57R45 (Secondary) |
| url | https://arxiv.org/abs/2310.19465 |