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arXiv · 1201.2670

Subtleties Concerning Conformal Tractor Bundles

C. Robin Graham·Travis Willse
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Abstract

The realization of tractor bundles as associated bundles in conformal geometry is studied. It is shown that different natural choices of principal bundle with normal Cartan connection corresponding to a given conformal manifold can give rise to topologically distinct associated tractor bundles for the same inducing representation. Consequences for homogeneous models and conformal holonomy are described. A careful presentation is made of background material concerning standard tractor bundles and equivalence between parabolic geometries and underlying structures.

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C. Robin Graham, Travis Willse. 2012-01-12. Subtleties Concerning Conformal Tractor Bundles. https://arxiv.org/abs/1201.2670

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