Finite-Dimensional Construction of Self-Duality and Related Moduli Spaces over a Riemann Surface as Stratified Holomorphic Symplectic Spaces

J. Huebschmann

doi:10.5802/jolt.1349

J. Huebschmann

Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 541-575

Abstract

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.

arXiv Zbl

DOI: 10.5802/jolt.1349

Classification: 53D30, 14D21, 14L24, 14H60, 32S60, 53D17, 53D20, 58D27, 81T13
Keywords: Self-duality moduli space, analytic representation variety, holomorphic symplectic reduction, stratified holomorphic symplectic space, stratified hyperkaehler space, extended moduli space

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     author = {J. Huebschmann},
     title = {Finite-Dimensional {Construction} of {Self-Duality} and {Related} {Moduli} {Spaces} over a {Riemann} {Surface} as {Stratified} {Holomorphic} {Symplectic} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {541--575},
     year = {2024},
     volume = {34},
     number = {3},
     doi = {10.5802/jolt.1349},
     zbl = {1559.53073},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1349/}
}

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J. Huebschmann. Finite-Dimensional Construction of Self-Duality and Related Moduli Spaces over a Riemann Surface as Stratified Holomorphic Symplectic Spaces. Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 541-575. doi: 10.5802/jolt.1349

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