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S. Tchuiaga

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Preprint Aug 2026

Abel-Jacobi Map and Symplectic Topology

We develop a harmonic-coordinate approach to the identity component $G_\omega(\Sigma_g)$ of the symplectomorphism group of a closed oriented surface of genus $g\ge2$. Using an intrinsic decomposition of the Abel-Jacobi displacement into a global flux part and a zero-average harmonic fluctuation, we introduce the harmon...

S. Tchuiaga · 0 citations