Obstructions to Pin Structures on Kleinian Manifolds
General Relativity and Quantum Cosmology
2009-10-28 v1
Abstract
We develop various topological notions on four-manifolds of Kleinian signature . In particular, we extend the concept of `Kleinian metric homotopy' to non-orientable manifolds. We then derive the topological obstructions to pin-Klein cobordism, for all of the pin groups. Finally, we discuss various examples and applications which arise from this work.
Cite
@article{arxiv.gr-qc/9505004,
title = {Obstructions to Pin Structures on Kleinian Manifolds},
author = {L. J. Alty and A. Chamblin},
journal= {arXiv preprint arXiv:gr-qc/9505004},
year = {2009}
}
Comments
20 pages, Latex, 2 xfigures available from Andrew Chamblin at H.A.Chamblin@damtp.cam.ac.uk