English

Obstruction theory on 7-manifolds

Algebraic Topology 2019-09-20 v3

Abstract

This paper gives a uniform, self-contained and direct approach to a variety of obstruction-theoretic problems on manifolds of dimension 7 and 6. We give necessary and sufficient cohomological criteria for the existence of various G-structures on vector bundles over such manifolds especially using low dimensional representations of the group U(2).

Keywords

Cite

@article{arxiv.1811.04666,
  title  = {Obstruction theory on 7-manifolds},
  author = {Martin Cadek and Michael Crabb and Tomas Salac},
  journal= {arXiv preprint arXiv:1811.04666},
  year   = {2019}
}

Comments

17 pages. Added Appendix

R2 v1 2026-06-23T05:12:28.026Z