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.