Obstructions to Pin Structures on Kleinian Manifolds

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.

20 pages, Latex, 2 xfigures available from Andrew Chamblin at [email protected]

References in corpus (2)

• Some applications of differential topology in general relativity
• On the Obstructions to non-Cliffordian Pin Structures

Cited by in corpus (3)

• The Pin Groups in Physics: C, P, and T
• Fundamental Automorphisms of Clifford Algebras and an Extension of Dabrowski Pin Groups
• Group Theoretical Description of Space Inversion, Time Reversal and Charge Conjugation