Spin Structures on Kleinian Manifolds

TL;DR

This paper investigates the topological conditions affecting spin structures on Kleinian manifolds, with implications for physics theories involving signature change and superstring models.

Contribution

It derives the topological obstruction to spin-Klein cobordism, advancing understanding of spin structures in non-trivial topologies.

Findings

Identifies the topological obstruction to spin-Klein cobordism

Links the results to signature change in general relativity

Implications for the $N=2$ superstring

Abstract

We derive the topological obstruction to spin-Klein cobordism. This result has implications for signature change in general relativity, and for the $N=2$ superstring.