English

Transversality for the moduli space of Spin(7)-instantons

Differential Geometry 2018-04-03 v3 High Energy Physics - Theory

Abstract

We construct the moduli space of Spin(7)-instantons on a hermitian complex vector bundle over a closed 8-dimensional manifold endowed with a (possibly non-integrable) Spin(7)-structure. We find suitable perturbations that achieve regularity of the moduli space, so that it is smooth and of the expected dimension over the irreducible locus.

Keywords

Cite

@article{arxiv.1611.04127,
  title  = {Transversality for the moduli space of Spin(7)-instantons},
  author = {Vicente Muñoz and C. S. Shahbazi},
  journal= {arXiv preprint arXiv:1611.04127},
  year   = {2018}
}

Comments

34 pages, no figures. Several typos fixed and references added, title changed