BibTeX
@MISC{Paradan05localizationof,
author = {Paul-emile Paradan},
title = { LOCALIZATION OF THE RIEMANN-ROCH CHARACTER},
year = {2005}
}
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Abstract
We present a K-theoretic approach to the Guillemin-Sternberg conjecture [17], about the commutativity of geometric quantization and symplectic reduction, which was proved by Meinrenken [28, 29] and Tian-Zhang [35]. Besides providing a new proof of this conjecture for the full non-abelian group action case, our methods lead to a generalization for compact Lie group actions on manifolds that are not symplectic; these manifolds carry an invariant almost complex structure and an abstract moment map.
