Extra-twisted connected sum G2-manifolds

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We present a construction of closed 7-manifolds of holonomy G2, which generalises Kovalev's twisted connected sums by taking quotients of the pieces in the construction before gluing. This makes it possible to realise a wider range of topological types, and Crowley, Goette and the author use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy G2 metrics
Original languageEnglish
Number of pages65
JournalAnnals of Global Analysis and Geometry
Publication statusAcceptance date - 17 Feb 2023


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