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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2605.31422 |
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| _version_ | 1866914618025181184 |
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| author | Álvarez-Gavela, Daniel Eliashberg, Yakov Nadler, David |
| author_facet | Álvarez-Gavela, Daniel Eliashberg, Yakov Nadler, David |
| contents | We introduce the framework of cotangent buildings to complement and refine that of Weinstein handlebodies. While Weinstein handlebodies are suitable for a ``bottom-up" analysis of the Weinstein structure, cotangent buildings also enable a ``top down" analysis. Further, cotangent buildings include a precise control over the interaction of any subcollection of the various building blocks, each of which is modeled on the cotangent bundle of a manifold with corners. Our main result is that any Weinstein manifold is Weinstein homotopic to one admitting the structure of a cotangent building. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_31422 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Weinstein manifolds as cotangent buildings Álvarez-Gavela, Daniel Eliashberg, Yakov Nadler, David Symplectic Geometry We introduce the framework of cotangent buildings to complement and refine that of Weinstein handlebodies. While Weinstein handlebodies are suitable for a ``bottom-up" analysis of the Weinstein structure, cotangent buildings also enable a ``top down" analysis. Further, cotangent buildings include a precise control over the interaction of any subcollection of the various building blocks, each of which is modeled on the cotangent bundle of a manifold with corners. Our main result is that any Weinstein manifold is Weinstein homotopic to one admitting the structure of a cotangent building. |
| title | Weinstein manifolds as cotangent buildings |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2605.31422 |