Exotic G2-manifolds

Diarmuid Crowley, Johannes Nordström

Research output: Contribution to journalArticlepeer-review

Abstract

We exhibit the first examples of closed 7-dimensional Riemannian manifolds with holonomy G 2 that are homeomorphic but not diffeomorphic. These are also the first examples of closed Ricci-flat manifolds that are homeomorphic but not diffeomorphic. The examples are generated by applying the twisted connected sum construction to Fano 3-folds of Picard rank 1 and 2. The smooth structures are distinguished by the generalised Eells–Kuiper invariant introduced by the authors in a previous paper.

Original languageEnglish
Pages (from-to)0-0
Number of pages28
JournalMathematische Annalen
Volume0
Issue number0
Early online date8 Jun 2020
DOIs
Publication statusE-pub ahead of print - 8 Jun 2020

ASJC Scopus subject areas

  • Mathematics(all)

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