Extra-twisted connected sum G2-manifolds

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Abstract

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
Article number2
Number of pages65
JournalAnnals of Global Analysis and Geometry
Volume64
Issue number1
Early online date12 Jun 2023
DOIs
Publication statusPublished - 31 Jul 2023

Bibliographical note

The author thanks Olivier Debarre, Alessio Corti, Diarmuid Crowley,Sebastian Goette, Mark Haskins, Jesus Martinez Garcia, and Dominic Wallis for valuable discussions,the referee for constructive comments, and the Simons Foundation for its support under the SimonsCollaboration on Special Holonomy in Geometry, Analysis and Physics (grant #488631, JohannesNordstr ̈om)

Keywords

  • 7-manifolds
  • G structures
  • K3 surfaces
  • Special holonomy

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology

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