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arXiv:math/0305250 [math.AT]AbstractReferencesReviewsResources

Heisenberg groups in algebraic topology

Jack Morava

Published 2003-05-17Version 1

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.

Comments: To appear in the Segal Festschrift
Journal: Topology, Geometry and Quantum Field Theory, 235 - 246, London Math. Soc. Lecture Note Ser., 308, Cambridge Univ. Press, Cambridge, 2004
Categories: math.AT, math.QA
Subjects: 19Dxx, 57Rxx, 83Cxx
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