Real projective structures on Riemann surfaces and new hyper-Kähler manifolds
نویسندگان
چکیده
The twistor space of the moduli solutions Hitchin's self-duality equations can be identified with Deligne-Hitchin $\lambda$-connections. We use real projective structures on Riemann surfaces to prove existence new components holomorphic sections space. Applying twistorial construction we show hyper-K\"ahler manifolds associated any compact surface genus $g\geq2$. These considered as spaces (certain) singular equations.
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ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 2022
ISSN: ['0025-2611', '1432-1785']
DOI: https://doi.org/10.1007/s00229-022-01377-z