Normal crossing immersions, cobordisms and flips
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866910445033488384 |
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| author | Adiprasito, Karim Liu, Gaku |
| author_facet | Adiprasito, Karim Liu, Gaku |
| contents | We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves by showing the question to be equivalent to the existence of cobordisms between generic immersions of hypersurfaces. This solves a question and conjecture of Habegger and Funar. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_01108 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Normal crossing immersions, cobordisms and flips Adiprasito, Karim Liu, Gaku Geometric Topology Combinatorics We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves by showing the question to be equivalent to the existence of cobordisms between generic immersions of hypersurfaces. This solves a question and conjecture of Habegger and Funar. |
| title | Normal crossing immersions, cobordisms and flips |
| topic | Geometric Topology Combinatorics |
| url | https://arxiv.org/abs/2001.01108 |