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Chern-Weil theory for certain infinite-dimensional Lie groups

Chern-Weil and Chern-Simons theory extend to certain infinite-rank bundles that appear in mathematical physics. We discuss what is known of the invariant theory of the corresponding infinite-dimensional Lie groups. We use these techniques to detect cohomology classes for spaces of maps between manifolds and for diffeomorphism groups of manifolds.

preprint2013arXivOpen access
Steven Rosenberg
math.DG
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Steven Rosenberg

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