Extra-twisted connected sum G_2-manifolds
Differential Geometry
2023-02-20 v3
Abstract
We present a construction of closed 7-manifolds of holonomy G_2, 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 G_2 metrics.
Keywords
Cite
@article{arxiv.1809.09083,
title = {Extra-twisted connected sum G_2-manifolds},
author = {Johannes Nordström},
journal= {arXiv preprint arXiv:1809.09083},
year = {2023}
}
Comments
65 pages, 16 figures. v3: Small corrections. To appear in Ann. Glob. Anal. Geom