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arXiv · 1306.4204

Chern-Weil theory for certain infinite-dimensional Lie groups

Steven Rosenberg
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Abstract

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.

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Steven Rosenberg. 2013-06-18. Chern-Weil theory for certain infinite-dimensional Lie groups. https://arxiv.org/abs/1306.4204

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