2018/09/24 by Johannes Nordström, Nordström, Johannes
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1809.09083
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 arXiv:1505.02734 use this to exhibit examples of closed 7-manifolds with disconnected moduli space of holonomy G2 metrics.