The solution on the geography-problem of non-formal compact (almost) contact manifolds
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908872156905472 |
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| author | Bock, Christoph |
| author_facet | Bock, Christoph |
| contents | Let $(m,b)$ be a pair of natural numbers. For $m$ odd with $m \ge 7$ (resp. $m \ge 5$) and $b=1$ (resp. $b=0$) we show that there is a non-formal compact (almost) contact $m$-manifold with first Betti number $b_1 = b$. Moreover, in the case $b = 0$ with $m \ge 7$, the manifold even is simply-connected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_03031 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The solution on the geography-problem of non-formal compact (almost) contact manifolds Bock, Christoph Algebraic Topology Symplectic Geometry Primary: 57R17, 16E45, Secondary: 57K50, 55S30, 55P62 Let $(m,b)$ be a pair of natural numbers. For $m$ odd with $m \ge 7$ (resp. $m \ge 5$) and $b=1$ (resp. $b=0$) we show that there is a non-formal compact (almost) contact $m$-manifold with first Betti number $b_1 = b$. Moreover, in the case $b = 0$ with $m \ge 7$, the manifold even is simply-connected. |
| title | The solution on the geography-problem of non-formal compact (almost) contact manifolds |
| topic | Algebraic Topology Symplectic Geometry Primary: 57R17, 16E45, Secondary: 57K50, 55S30, 55P62 |
| url | https://arxiv.org/abs/2104.03031 |