English

Gauge Theory in higher dimensions, II

Differential Geometry 2009-02-19 v1

Abstract

The main aim of the paper is to develop the "Floer theory" associated to Calabi-Yau 3-folds, exending the analogy of Thomas' "holomorphic Casson invariant". The treatment in the body of the paper is largely formal, assuming appropriate compactness properties of moduli spaces of G2G_{2}-instantons, but in the last section we make some remarks about these compactness isssues. Section 3 of the paper contains a general dscussion of deformations of the equations, for gauge field and submanifolds, associated to manifolds with exceptional holonomy.

Keywords

Cite

@article{arxiv.0902.3239,
  title  = {Gauge Theory in higher dimensions, II},
  author = {Simon Donaldson and Ed Segal},
  journal= {arXiv preprint arXiv:0902.3239},
  year   = {2009}
}
R2 v1 2026-06-21T12:13:08.637Z