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