Heisenberg groups in algebraic topology

Details Heisenberg groups in algebraic topology Heisenberg groups in algebraic topology

2003-05-17

arxiv.org/abs/math/0305250v1

Topology, Geometry and Quantum Field Theory, 235 - 246, London Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambr

Mathematics

Algebraic Topology

To appear in the Segal Festschrift

Scientific paper

We study the Madsen-Tillmann spectrum $\C P^\infty_{-1}$ as a quotient of the
Mahowald pro-object $\C P^{\infty}_{-\infty}$, 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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