Can I read G2-instantons over Kovalev manifolds II on EtoBox?

G2-instantons over Kovalev manifolds II by Earp, Henrique N. Sá is a scholarly article available to read on EtoBox.

What is G2-instantons over Kovalev manifolds II about?

This is the first nontrivial construction to date of instantons over a compact manifold with holonomy exactly $G_2$. The HYM connections on asymptotically stable bundles over Kovalev's noncompact Calabi-Yau 3-folds, obtained in the first article, are glued compatibly with a twisted connected sum, to produce a $G_2-$instanton over the resulting compact 7-manifold. This is accomplished under a nondegeneracy acyclic assumption on the bundle `at infinity', which occurs e.g. over certain projective varieties $X_{22}$ in $\mathbb{C}P^{13}$ equipped with an asymptotically rigid bundle.

Author

Earp, Henrique N. Sá

Published

2011

Language

EN