The index of G-transversally elliptic families in cohomology
Baldare, Alexandre
HAL, hal-01873320 / Harvested from HAL
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.
Publié le : 2019-07-04
Classification:  fibration,  equivariant cohomology,  Index,  transversally elliptic operators,  MSC2010 classification: 19K56, 19L47, 19L10, 19M05, 55N25.,  [MATH]Mathematics [math],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
@article{hal-01873320,
     author = {Baldare, Alexandre},
     title = {The index of G-transversally elliptic families in cohomology},
     journal = {HAL},
     volume = {2019},
     number = {0},
     year = {2019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01873320}
}
Baldare, Alexandre. The index of G-transversally elliptic families in cohomology. HAL, Tome 2019 (2019) no. 0, . http://gdmltest.u-ga.fr/item/hal-01873320/