Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
نویسندگان
چکیده
We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles hyper-Kähler manifolds arbitrary dimension. In particular, we describe the DG Lie algebra controlling this deformation problem. Moreover, prove associative formality for derived endomorphisms a holomorphic bundle admitting projectively connection.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-022-03176-4