Liftings of surfaces in the plane
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916756910505984 |
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| author | Karpenkov, Oleg Servatius, Brigitte Servatius, Herman |
| author_facet | Karpenkov, Oleg Servatius, Brigitte Servatius, Herman |
| contents | In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we give an estimate on the dimension of self-stresses, when the frameworks will posses a non-trivial lifting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18841 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Liftings of surfaces in the plane Karpenkov, Oleg Servatius, Brigitte Servatius, Herman Combinatorics 05C10, 52C25, 57Q99 In this note we provide a topological definition of Maxwell-Cremona liftings for non-planar frameworks of surfaces (both oriented and non-oriented). In the non-oriented case we give an estimate on the dimension of self-stresses, when the frameworks will posses a non-trivial lifting. |
| title | Liftings of surfaces in the plane |
| topic | Combinatorics 05C10, 52C25, 57Q99 |
| url | https://arxiv.org/abs/2505.18841 |