Jack Morava
Published 2001-02-16, updated 2001-09-13Version 3
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.
Comments: This is a revision of an earlier posting, with the name changed slightly. The paper has been reorganized, and some howlers related to the Segal conjecture have been eliminated
Heisenberg groups in algebraic topology
The Euler characteristic of the moduli space of graphs
Combinatorial classes on the moduli space of curves are tautological
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