Chern–weil Theory for Certain Infinite-dimensional Lie Groups
نویسنده
چکیده
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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تاریخ انتشار 2012