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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.00916 |
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| _version_ | 1866910996661010432 |
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| author | Brahma, Koushik Naskar, Bikramaditya Sarkar, Soumen Sau, Subhankar |
| author_facet | Brahma, Koushik Naskar, Bikramaditya Sarkar, Soumen Sau, Subhankar |
| contents | In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compute symmetric topological complexity of several small covers over a product of simplices. We calculate the LS one-category of real Bott manifolds and infinitely many small covers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_00916 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Various Topological Complexities of Small Covers and Real Bott Manifolds Brahma, Koushik Naskar, Bikramaditya Sarkar, Soumen Sau, Subhankar Algebraic Topology 55M30, 57S12 In this paper, we compute the LS-category and equivariant LS-category of a small cover and its real moment angle manifold. We calculate a tight lower bound for the topological complexity of many small covers over a product of simplices. Then we compute symmetric topological complexity of several small covers over a product of simplices. We calculate the LS one-category of real Bott manifolds and infinitely many small covers. |
| title | Various Topological Complexities of Small Covers and Real Bott Manifolds |
| topic | Algebraic Topology 55M30, 57S12 |
| url | https://arxiv.org/abs/2306.00916 |