The G-Signature Theorem revisited, by Jonathan Rosenberg

In a strengthening of the G-Signature Theorem of Atiyah and Singer, we compute, at least in principle (modulo certain torsion of exponent dividing a power of the order of G), the class in equivariant K-homology of the signature operator on a G-manifold, localized at a prime idea of R(G), in terms of the classes in non-equivariant K-homology of the signature operators on fixed sets. The main innovations are that the calculation takes (at least some) torsion into account, and that we are able to extend the calculation to some non-smooth actions.

• 0325.bib (231 bytes)
• Gsign.dvi (78216 bytes) [December 23, 1998]
• Gsign.dvi.gz (34271 bytes)
• Gsign.pdf (194826 bytes)
• Gsign.ps.gz (206035 bytes)