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Even and odd symplectic and Kählerian structures on projective superspaces

1992/10/15 by O. M. Khudaverdian, O. N. Khudaverdian, A. P. Nersessian · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #hep-th #math.DG

paper · pdf · doi:10.1063/1.530320

published as J.Math.Phys.34:5533-5548,1993 · 19 pages

arxiv created 1992/10/15 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Supergeneralization of CP(N) provided with even and odd Kählerian structures from Hamiltonian reduction are constructed. Operator Δ, which is used in Batalin–Vilkovisky quantization formalism and mechanics, which are bi-Hamiltonian under corresponding even and odd Poisson brackets, are considered.

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