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Weil Modules and Gauge Bundles

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Abstract

Finite dimensional modules over Weil algebras are investigated and corresponding gauge bundle functors, from the category of vector bundles into the category of fibered manifolds, are determined. The equivalence of the two definitions of gauge Weil functors is proved and a number of geometric examples is presented, including a new description of vertical Weil bundles.

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Authors and Affiliations

  1. Institute of Mathematics, Brno University of Technology, Technická 2, 61669, Brno, Czech Republic

    Miroslav Kureš

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  1. Miroslav Kureš
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Correspondence to Miroslav Kureš.

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The author is supported by GA CR, Grant No. 201/02/0225. The paper represents the extended version of the contribution at the International Conference on Algebras, Modules and Rings, Lisboa 2003. The author's participation at this conference was also partially supported by the grant of UNESCO–ROSTE

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Kureš, M. Weil Modules and Gauge Bundles. Acta Math Sinica 22, 271–278 (2006). https://doi.org/10.1007/s10114-005-0616-3

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  • DOI: https://doi.org/10.1007/s10114-005-0616-3

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