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Signature quantization

We associate to the action of a compact Lie group G on a line bundle over a compact oriented even-dimensional manifold a virtual representation of G using a twisted version of the signature operator. We obtain analogues of various theorems in the more standard theory of geometric quantization.

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Bibliographic Details
Published in:Proc Natl Acad Sci U S A
Main Authors: Guillemin, Victor, Sternberg, Shlomo, Weitsman, Jonathan
Format: Artigo
Language:Inglês
Published: National Academy of Sciences 2003
Subjects:
Online Access:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC398041/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/14569022/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.1735527100
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