Algebraic topology of $G_2$ manifolds
| Autor: | Akbulut, Selman, Kalafat, Mustafa |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Expo. Math. 34 (2016) 106-129 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.exmath.2015.03.004 |
| Popis: | In this paper we give a survey of various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2. Some of these results are new. We give self-contained proofs here. One often encounters these spaces when studying submanifolds of manifolds with calibrated geometries. For the sake of completeness we decided to collect them here in a self-contained way to be easily accessible for future usage in calibrated geometry. As an application we deduce existence of certain special 3 and 4 dimensional submanifolds of G_2 manifolds with special properties, which appear in the first named author's work with S. Salur about G_2 dualities. Comment: 27 pages, 2 figures. Final version with journal info |
| Databáze: | arXiv |
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