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.
Guillemin
Victor
V
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Sternberg
Shlomo
S
Weitsman
Jonathan
J