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arxiv: 1005.2820 · v4 · pith:L2MKZMRFnew · submitted 2010-05-17 · 🧮 math.RA · math.DG

Notes on the octonions

classification 🧮 math.RA math.DG
keywords algebradonaldson-thomasexplainexpositorygeometryholonomylinearmanifolds
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This is an expository paper. Its purpose is to explain the linear algebra that underlies Donaldson-Thomas theory and the geometry of Riemannian manifolds with holonomy in $G_2$ and ${\rm Spin}(7)$.

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Cited by 2 Pith papers

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  2. Associative submanifolds in twisted connected sum $G_2$-manifolds

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    A gluing theorem for ACyl associative submanifolds produces closed rigid associatives in twisted connected sum G2-manifolds with topologies S^3, RP^3 and RP^3#RP^3.