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arXiv · 1712.08420

Symmetries of the space of connections on a principal G-bundle and related symplectic structures

Grzegorz Jakimowicz·Anatol Odzijewicz·Aneta Sliżewska
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Abstract

We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP covering the identity map of P and commuting with the action of TG on TP. The symplectic structures corresponding to connections on P(M,G) are also investigated. The Marsden-Weinstein reduction procedure for these symplectic structures is discussed.

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Grzegorz Jakimowicz, Anatol Odzijewicz, Aneta Sliżewska. 2017-12-22. Symmetries of the space of connections on a principal G-bundle and related symplectic structures. https://arxiv.org/abs/1712.08420

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