Orientability of moduli spaces of Spin(7)-instantons and coherent sheaves on Calabi–Yau 4-folds
Suppose (X, Ω, g) is a compact Spin(7)-manifold, e.g. a Riemannian 8-manifold with holonomy Spin(7), or a Calabi–Yau 4-fold. Let G be U(m) or SU(m), and P → X be a principal G-bundle. We show that the infinite-dimensional moduli space BP of all connections on P modulo gauge is orientable, in a certain sense. We deduce that the moduli space MSpin(7) P ⊂ BP of irreducible Spin(7)-instanton connections on P modulo gauge, as a manifold or derived manifold, is orientable. This improves theorems of...Expand abstract
- Publication status:
- Peer review status:
- Peer reviewed
(Accepted manuscript, 747.1KB)
- Publisher copy:
- Copyright holder:
- Elsevier Inc.
- Copyright date:
- Rights statement:
- © 2020 Elsevier Inc. All rights reserved.
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at: https://doi.org/10.1016/j.aim.2020.107134
If you are the owner of this record, you can report an update to it here: Report update to this record