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arXiv:1804.09951 [math.GT]AbstractReferencesReviewsResources

Complex G_2 manifolds

Selman Akbulut, Ustun Yildirim

Published 2018-04-26Version 1

We introduce the notion of complex G_2 manifold M_C, and complexification of a G_2 manifold M. As an application we show that isotropic deformations of an associative submanifold of a G_2 manifold M inside of its complexification M_C is given by Seiberg-Witten type equations.

Comments: 28 pages
Categories: math.GT, math.SG
Subjects: 53C38, 53C29, 57R57
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