Computing $\nu$-invariants of Joyce's compact $G_2$-manifolds
Geometric Topology
2020-08-18 v1 Differential Geometry
Abstract
Crowley and Nordstr\"{o}m introduced an invariant of -structures on the tangent bundle of a closed 7-manifold, taking values in the integers modulo 48. Using the spectral description of this invariant due to Crowley, Goette and Nordstr\"{o}m, we compute it for many of the closed torsion-free -manifolds defined by Joyce's generalized Kummer construction.
Cite
@article{arxiv.2008.07239,
title = {Computing $\nu$-invariants of Joyce's compact $G_2$-manifolds},
author = {Christopher Scaduto},
journal= {arXiv preprint arXiv:2008.07239},
year = {2020}
}
Comments
20 pages, comments welcome