Signature Quantization
Guillemin, Victor ; Sternberg, Shlomo ; Weitsman, Jonathan
J. Differential Geom., Tome 66 (2004) no. 3, p. 139-168 / Harvested from Project Euclid
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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. Some of these results were announced in Guillemin, Sternberg and Weitsman, 2003.
Publié le : 2004-01-15
Classification:  
@article{1090415031,
     author = {Guillemin, Victor and Sternberg, Shlomo and Weitsman, Jonathan},
     title = {Signature Quantization},
     journal = {J. Differential Geom.},
     volume = {66},
     number = {3},
     year = {2004},
     pages = { 139-168},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1090415031}
}

Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan. Signature Quantization. J. Differential Geom., Tome 66 (2004) no. 3, pp.  139-168. http://gdmltest.u-ga.fr/item/1090415031/