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- W2034861242 abstract "We study how a gluing construction, which produces compact manifolds with holonomy G2 from matching pairs of asymptotically cylindrical G 2-manifolds, behaves under deformations. We show that the gluing construction defines a smooth map from a moduli space of gluing data to the moduli space M of torsion-free G2-structures on the glued manifold, and that this is a local diffeomorphism. We use this to partially compactify M, including it as the interior of a topological manifold with boundary. The boundary points are equivalence classes of matching pairs of torsion-free asymptotically cylindrical G2-structures." @default.
- W2034861242 created "2016-06-24" @default.
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- W2034861242 date "2009-01-01" @default.
- W2034861242 modified "2023-09-29" @default.
- W2034861242 title "Deformations of glued $G_{2}$-manifolds" @default.
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- W2034861242 doi "https://doi.org/10.4310/cag.2009.v17.n3.a3" @default.
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