Corpus ID: 115161390

Index of transversally elliptic operators

@article{Paradan2008IndexOT,
  title={Index of transversally elliptic operators},
  author={P. Paradan and M. Vergne},
  journal={arXiv: Differential Geometry},
  year={2008}
}
In 1996, Berline and Vergne gave a cohomological formula for the index of a transversally elliptic operator. In this paper we propose a new point of view where the cohomological formulae make use of equivariant Chern characters with generalized coefficients and with compact suppport. This kind of Chern characters was studied by the authors in a previous paper (see arXiv:0801.2822). 
38 Citations
Index of projective elliptic operators
  • 1
  • PDF
The index of G-transversally elliptic families in cohomology.
  • 5
  • Highly Influenced
  • PDF
An explicit formula for the transversal indices of the lifted Dolbeault operators
  • Highly Influenced
  • PDF
The infinitesimal index
  • 14
  • PDF
Chern characters in equivariant basic cohomology
  • 1
  • PDF
Vector partition functions and index of transversally elliptic operators
  • 31
  • PDF
...
1
2
3
4
...

References

SHOWING 1-10 OF 33 REFERENCES
The Chern character of a transversally elliptic symbol and the equivariant index
  • 66
  • PDF
Applications of equivariant cohomology
  • 42
  • PDF
Localization of the Riemann–Roch Character
  • 92
  • PDF
Elliptic operators and compact groups
  • 280
  • Highly Influential
Eigenfunction expansions of analytic functions
  • 31
  • PDF
...
1
2
3
4
...