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arXiv · 1508.07847

Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology

Andreas Kübel·Andreas Thom
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Abstract

We show the compatibility of the differential geometric and the topological construction of equivariant characteristic classes for compact Lie groups. Our analysis motivates a differential geometric construction for equivariant characteristic classes in the non-compact case. This compatibility is generally assumed and used in various cases, but there is only a proof for compact connected Lie groups in the literature, see the work of Raoul Bott and Loring Tu. Our proof applies and generalizes ideas of Johan Dupont and Ezra Getzler.

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Andreas Kübel, Andreas Thom. 2015-11-10. Equivariant characteristic forms in the Cartan model and Borel equivariant cohomology. https://arxiv.org/abs/1508.07847

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