Compact holonomy $\mathrm{G}_2$ manifolds need not be formal
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914528972767232 |
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| author | Martín-Merchán, Lucía |
| author_facet | Martín-Merchán, Lucía |
| contents | We construct a compact, simply connected manifold with holonomy $\mathrm{G}_2$ that is non-formal. We use the construction method of compact torsion-free $\mathrm{G}_2$ manifolds developed by D.D. Joyce and S. Karigiannis. A non-vanishing triple Massey product is obtained by arranging the singular locus in a particular configuration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04362 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compact holonomy $\mathrm{G}_2$ manifolds need not be formal Martín-Merchán, Lucía Differential Geometry Algebraic Topology 53C29, 55S30, 55P62 We construct a compact, simply connected manifold with holonomy $\mathrm{G}_2$ that is non-formal. We use the construction method of compact torsion-free $\mathrm{G}_2$ manifolds developed by D.D. Joyce and S. Karigiannis. A non-vanishing triple Massey product is obtained by arranging the singular locus in a particular configuration. |
| title | Compact holonomy $\mathrm{G}_2$ manifolds need not be formal |
| topic | Differential Geometry Algebraic Topology 53C29, 55S30, 55P62 |
| url | https://arxiv.org/abs/2409.04362 |