Corpus ID: 17055550

Equivariant relative Thom forms and Chern characters

@article{Paradan2007EquivariantRT,
  title={Equivariant relative Thom forms and Chern characters},
  author={P. Paradan and M. Vergne},
  journal={arXiv: Differential Geometry},
  year={2007}
}
These notes are the first chapter of a monograph, dedicated to a detailed proof of the equivariant index theorem for transversally elliptic operators. In this preliminary chapter, we prove a certain number of natural relations in equivariant cohomology. These relations include the Thom isomorphism in equivariant cohomology, the multiplicativity of the relative Chern characters, and the Riemann-Roch relation between the relative Chern character of the Bott symbol and of the relative Thom class. 
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