Signature quantization.
basic_science · Level V
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- Record sourced from PubMed, PMID 14569022.
- Also identified by PMC identifier 398041.
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Abstract
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.