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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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Bibliografiske detaljer
Main Authors: Guillemin, Victor, Sternberg, Shlomo, Weitsman, Jonathan
Format: Artigo
Sprog:Inglês
Udgivet: National Academy of Sciences 2003
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC398041/
https://ncbi.nlm.nih.gov/pubmed/14569022
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1735527100
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