1998/02/17 by Stefan Waldmann, Waldmann, Stefan
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG
paper · pdf · doi:10.48550/arxiv.math/9802078
7 pages, LaTeX 2e
arxiv created 1998/02/17 · openalex publication_date 1998/02/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct non-equivalent star products on CPn by phase space reduction. It turns out that the non-equivalent star products occur very natural in the context of phase space reduction by deforming the momentum map of the U(1)-action on Cn+1 0 into a quantum momentum map and the corresponding momentum value into a quantum momentum value such that the level set, i.~e. the `constraint surface', of the quantum momentum map coincides with the classical one. All equivalence classes of star products on CPn are obtained by this construction.