English

$G_2$-instantons over twisted connected sums: an example

Differential Geometry 2018-10-02 v2 Algebraic Geometry

Abstract

Using earlier work of S\'a Earp and the author [SEW13] we construct an irreducible unobstructed G2G_2-instanton on an SO(3)\mathrm{SO}(3)-bundle over a twisted connected sum recently discovered by Crowley-Nordstr\"om [CN14].

Cite

@article{arxiv.1505.01080,
  title  = {$G_2$-instantons over twisted connected sums: an example},
  author = {Thomas Walpuski},
  journal= {arXiv preprint arXiv:1505.01080},
  year   = {2018}
}

Comments

v2: published version

R2 v1 2026-06-22T09:28:31.966Z