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Spin Structures on Kleinian Manifolds

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arxiv hep-th/9310175 v1 pith:EYBXM5XD submitted 1993-10-26 hep-th gr-qcmath.DGmath.GT

classification hep-thgr-qcmath.DGmath.GT
keywords changecobordismderivegeneralimplicationskleinianmanifoldsobstruction
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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.

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  1. Exploring the Kleinian horizons

    hep-th 2025-05 accept novelty 6.0 of 10

    Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.

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