Infinite sequences of almost Kaehler manifolds with high symmetry, their perturbations and pseudo holomorphic curves

2012/05/14 by Tsuyoshi Kato, Kato, Tsuyoshi
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1205.2938

openalex publication_date 2012/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study analysis over infinite dimensional manifolds consisted by sequences of almost Kaehler manifolds. We develop moduli theory of pseudo holomorphic curves into such spaces with high symmetry. Many mechanisms of the standard moduli theory over finite dimensional spaces also work over these infinite dimensional spaces, which is based on a simple functional analytic framework.

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