Deformations of glued G2-manifolds

Research output: Contribution to journalArticlepeer-review

5 Citations (SciVal)
170 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)481-503
Number of pages23
JournalCommunications in Analysis & Geometry
Issue number3
Publication statusPublished - 1 Jul 2009


Dive into the research topics of 'Deformations of glued G2-manifolds'. Together they form a unique fingerprint.

Cite this