The index of G-transversally elliptic families in cohomology

Alexandre Baldare (1)

1 IMAG - Institut Montpelliérain Alexander Grothendieck

We define the Chern character of the index class of a G-invariant family of G-transversally elliptic operators, see [6]. Next we study the Berline-Vergne formula for families in the elliptic and transversally elliptic case.

Mots clés: Index; transversally elliptic operators; equivariant cohomology; fibration

Domaines: Mathématiques [math]; Géométrie différentielle [math.DG]

Alexandre Baldare. The index of G-transversally elliptic families in cohomology. Journal of Noncommutative Geometry, 2020, 14 (3), pp.1171-1207. ⟨10.4171/JNCG/390⟩. ⟨hal-01873320⟩