Construction of G_2-instantons via twisted connected sums

Grégoire Menet, Johannes Nordstrom, Henrique Sá Earp

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4 Citations (SciVal)


We propose a method to construct G 2-instantons over a compact twisted connected sum G 2-manifold, applying a gluing result of Sá Earp and Walpuski to instantons over a pair of 7-manifolds with a tubular end. In our example, the moduli spaces of the ingredient instantons are non-trivial, and their images in the moduli space over the asymptotic cross-section K3 surface intersect transversely. Such a pair of asymptotically stable holomorphic bundles is obtained using a twisted version of the Hartshorne-Serre construction, which can be adapted to produce other examples. Moreover, their deformation theory and asymptotic behaviour are explicitly understood, results which may be of independent interest.

Original languageEnglish
Pages (from-to)471-509
Number of pages39
JournalMathematical Research Letters
Issue number2
Publication statusPublished - 13 May 2021

ASJC Scopus subject areas

  • Mathematics(all)


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