Tate cohomology of circle actions as a Heisenberg group

2001/02/16 by Jack Morava, Morava, Jack · 1 citation
Mathematics · Physics and Astronomy · #19Dxx #57Rxx #83Cxx #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.AG #math.AT #math.MP #math.QA #msc:19Dxx #msc:57Rxx #msc:83Cxx

paper · pdf · doi:10.48550/arxiv.math/0102132

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

openalex publication_date 2001/02/16 · arxiv created 2001/09/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the Madsen-Tillman spectrum \CP^∞_-1 as a quotient of the Mahowald pro-object \CP^∞_-∞, 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.

Citations

• Vertex operators, symmetric functions, and the spin group Γn

Cited by

• The Gromov-Witten potential associated to a TCFT

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