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- W3129345137 abstract "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 show that there is no integer k such that every manifold embeds in a spin manifold with codimension k ." @default.
- W3129345137 created "2021-03-01" @default.
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- W3129345137 date "2021-06-01" @default.
- W3129345137 modified "2023-10-03" @default.
- W3129345137 title "Spin<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e138 altimg=si10.svg><mml:msup><mml:mrow /><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:msup></mml:math> and further generalisations of spin" @default.
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- W3129345137 doi "https://doi.org/10.1016/j.geomphys.2021.104174" @default.
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