Tate cohomology of circle actions as a Heisenberg group

Mathematics – Algebraic Topology

Scientific paper

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This is a revision of an earlier posting, with the name changed slightly. The paper has been reorganized, and some howlers rel

Scientific paper

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.

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