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Spin$^h$ Manifolds

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arxiv 2301.09683 v2 pith:FCIKGHFA submitted 2023-01-23 math.DG math.AT

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keywords spinmanifoldsarticlebeencenterconceptcousindiscusses
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abstract

The concept of a ${\rm Spin}^h$-manifold, which is a cousin of Spin- and ${\rm Spin}^c$-manifolds, has been at the center of much research in recent years. This article discusses some of the highlights of this story.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Killing (super)algebras for generalised spin manifolds

    math.DG 2025-11 conditional novelty 6.0 of 10

    Killing (super)algebras on generalised spin manifolds are filtered subdeformations of the R-symmetry-extended Poincaré superalgebra, classified by Spencer cohomology in the highly supersymmetric Lorentzian case and us...

  2. Notes on generalised spin structures

    math.DG 2025-11 accept novelty 5.0 of 10

    A new 'symmetry algebra' extending the Killing vector algebra by the gauge algebra on spin-G manifolds is constructed and shown to act on sections of associated bundles, and homogeneous spin-H structures are classifie...

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