On Counting Flat Connections over $G_2$-Orbifolds
Differential Geometry
2023-04-04 v1 Geometric Topology
Abstract
We study the moduli space of -instantons on (projectively) flat bundles over torsion-free -orbifolds. We prove that the moduli space is compact and smooth at the irreducible locus after adding small and generic holonomy perturbations. Consequently, we define an integer-valued invariant that is invariant under -deformation of torsion-free -structures. We compute this invariant for some orbifolds that arise in Joyce's construction of compact -manifolds
Cite
@article{arxiv.2304.00606,
title = {On Counting Flat Connections over $G_2$-Orbifolds},
author = {Langte Ma},
journal= {arXiv preprint arXiv:2304.00606},
year = {2023}
}
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44 Pages