On Special Calibrated Almost Complex Structures and Moduli Space

2006/06/29 by Адриано Томассини, Adriano Tomassini, Luigi Vezzoni +2
Mathematics · #32Q60 #53D05 #58D27 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.CV #math.DG #math.SG #msc:32Q60 #msc:53D05 #msc:58D27

paper · pdf · doi:10.48550/arxiv.math/0606759

17 pages

openalex publication_date 2006/06/29 · arxiv created 2007/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An ω-admissible almost complex structure on a 2n-dimensional symplectic manifold (M,ω) is a ω-calibrated almost complex structure J admitting a nowhere vanishing ∂_J-closed (n,0)-form ψ. After giving some examples we consider the moduli space of admissible almost complex structures and we study infinitesimal deformations. As special case, we write down explicit computations for the complex torus.

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