Journal of Lie Theory 34 (2024), No. 3, 541--575
Copyright Heldermann Verlag 2024
Finite-Dimensional Construction of Self-Duality and Related Moduli Spaces over a Riemann Surface as Stratified Holomorphic Symplectic Spaces
Johannes Huebschmann
Université de Lille -- Sciences et Technologies, Département de Mathématiques, CNRS-UMR 8524, Labex CEMPI (ANR-11-LABX-0007-01), 59655 Villeneuve d'Ascq Cedex, France
Johannes.Huebschmann@univ-lille.fr
In terms of appropriate extended moduli spaces, we develop a finite-dimensional construction of the self-duality and related moduli spaces over a Riemann surface as stratified holomorphic symplectic spaces by singular finite-dimensional holomorphic symplectic reduction.
Keywords: Self-duality moduli space, analytic representation variety, holomorphic symplectic reduction, stratified holomorphic symplectic space, stratified hyperkaehler space, extended moduli space.
MSC: 53D30; 14D21, 14L24, 14H60, 32S60, 53D17, 53D20, 58D27, 81T13.
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