Signature quantization.

نویسندگان

  • Victor Guillemin
  • Shlomo Sternberg
  • Jonathan Weitsman
چکیده

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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عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 100 22  شماره 

صفحات  -

تاریخ انتشار 2003