Obstructions to Pin Structures on Kleinian Manifolds

Details Obstructions to Pin Structures on Kleinian Manifolds Obstructions to Pin Structures on Kleinian Manifolds

1995-05-03

arxiv.org/abs/gr-qc/9505004v1

J.Math.Phys. 37 (1996) 2001-2012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, Latex, 2 xfigures available from Andrew Chamblin at H.A.Chamblin@damtp.cam.ac.uk

Scientific paper

10.1063/1.531491

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.

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