A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit any semi-regular Sasakian structure. For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | catalán |
| OAI Identifier: | oai:ddd.uab.cat:248607 |
| Acesso em linha: | https://ddd.uab.cat/record/248607 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6522107 |
| Access Level: | acceso abierto |
| Palavra-chave: | Sasakian K-contact Seifert bundle Smale-barden manifold Algebraic surface |
| Resumo: | We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit any semi-regular Sasakian structure. For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic surfaces spanning the homology, all of them of genus 1 except for one of genus g. |
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