Equivariant Characteristic Forms in the Cartan model and Borel equivariant Cohomology
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Submission date: 25. Oct. 2015
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We show the compatibility of the differential geometric and the topological formulation of equivariant characteristic classes for compact Lie group. The construction also motivates a differential geometric construction in the non-compact case. This compatibility is generally assumed, but there is only a proof for compact connected Lie groups in the literature, see [BottTu01].