Title: Tate cohomology of circle actions as a Heisenberg group

Author: Jack Morava

AMS classification: 19Dxx, 57Rxx, 83Cxx

Address: The Johns Hopkins University
Baltimore 21218 Maryland

e-mail: jack@math.jhu.edu

Abstract:

This is a revision of an earlier posting, with a similar name; 
the paper has been reorganized, and some howlers related to the 
Segal conjecture have been eliminated:

We study the Madsen-Tillman spectrum \CP^\infty_{-1} as a 
quotient of the Mahowald pro-object \CP^\infty_{-\infty}, which
is closely related to the Tate cohomology of circle actions. 
That theory has an associated symplectic structure, whose 
symmetries define the Virasoro operations on the cohomology 
of moduli space constructed by Kontsevich and Witten.