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Introducing Quaternionic Gerbes

Finlay Thompson
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Abstract

The notion of a quaternionic gerbe is presented as a new way of bundling algebraic structures over a four manifold. The structure groupoid of this fibration is described in some detail. The Euclidean conformal group R*SO(4) appears naturally as a (non-commutative) monoidal structure on this groupoid. Using this monoidal structure we indicate the existence of a canonical quaternionic gerbe associated to a conformal structure on a four manifold.

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Finlay Thompson. 2000-09-22. Introducing Quaternionic Gerbes. https://arxiv.org/abs/math/0009201

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