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Coassociative submanifolds in Joyce's generalised Kummer constructions

Author:
Dominik Gutwein
Keyword:
Mathematics, Differential Geometry, Differential Geometry (math.DG)
journal:
--
date:
2023-05-08 16:00:00
Abstract
This article constructs coassociative submanifolds in $G_2$-manifolds arising from Joyce's generalised Kummer construction. The novelty compared to previous constructions is that these submanifolds all lie within the critical region of the $G_2$-manifold in which the metric degenerates. This forces the volume of the coassociatives to shrink to zero when the orbifold-limit is approached.
PDF: Coassociative submanifolds in Joyce's generalised Kummer constructions.pdf
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