Introducing Quaternionic Gerbes

Details Introducing Quaternionic Gerbes Introducing Quaternionic Gerbes

2000-09-22

arxiv.org/abs/math/0009201v1

Mathematics

Differential Geometry

14 pages, amslatex. This is an expanded version of lecture given by the auther at the National Research Symposiumon Geometric

Scientific paper

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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