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- W3048775424 abstract "The question of which manifolds are spin or spin^c has a simple and complete answer. In this paper we address the same question for spin^h manifolds, which are less studied but have appeared in geometry and physics in recent decades. We determine that the first obstruction to being spin^h is the fifth integral Stiefel-Whitney class W_5. Moreover, we show that every orientable manifold of dimension 7 and lower is spin^h, and that there are orientable manifolds which are not spin^h in all higher dimensions. We are then led to consider an infinite sequence of generalised spin structures. In doing so, we determine an answer to the following question: is there an integer k such that every manifold embeds in a spin manifold with codimension k?" @default.
- W3048775424 created "2020-08-18" @default.
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- W3048775424 date "2020-08-11" @default.
- W3048775424 modified "2023-09-27" @default.
- W3048775424 title "Spin^h and further generalisations of spin" @default.
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