Localization of the Riemann-Roch character
Paradan, Paul-Emile
HAL, hal-00773250 / Harvested from HAL
Text on HAL
We present a K-theoretic approach to the Guillemin-Sternberg conjecture, about the commutativity of geometric quantization and symplectic reduction, which was proved by Meinrenken and Tian-Zhang. Besides providing a new proof of this conjecture for the full non-abelian group action case, our methods lead to a generalisation for compact Lie group actions on manifolds that are not symplectic. Instead, these manifolds carry an invariant almost complex structure and an abstract moment map.
Publié le : 2001-07-05
Classification:  moment map,  reduction,  geometric quantization,  induction,  transversally elliptic symbol,  [MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG] 
@article{hal-00773250,
     author = {Paradan, Paul-Emile},
     title = {Localization of the Riemann-Roch character},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00773250}
}

Paradan, Paul-Emile. Localization of the Riemann-Roch character. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00773250/