Localization of the Riemann-Roch character

Paul-Emile Paradan

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arXiv · math/9911024

Localization of the Riemann-Roch character

Paul-Emile Paradan

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Abstract

We present a K-theoritic 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.

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BibTeX RIS

Paul-Emile Paradan. 2001-05-23. Localization of the Riemann-Roch character. https://arxiv.org/abs/math/9911024

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