Branched Holomorphic Cartan Geometries and Calabi–Yau Manifolds

DOI10.1093/imrn/rny003zbMath1436.32072arXiv1706.04407OpenAlexW2626137454WikidataQ126047952 ScholiaQ126047952MaRDI QIDQ5210826

Sorin Dumitrescu, Indranil Biswas

Publication date: 21 January 2020

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04407

zbMATH Keywords

compact complex manifoldsbranched holomorphic Cartan geometry

Mathematics Subject Classification ID

Compact complex (n)-folds (32J18) Compact complex surfaces (32J15) Holomorphic bundles and generalizations (32L05)

Related Items (12)

Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds ⋮ Branched projective structures, branched \(\mathrm{SO}(3,\mathbb{C})\)-opers and logarithmic connections on jet bundle ⋮ Rational parallelism on complex manifolds ⋮ Deformation theory of holomorphic Cartan geometries ⋮ Foliated affine and projective structures ⋮ Holomorphic projective connections on compact complex threefolds ⋮ Single-valued Killing fields of a meromorphic affine connection and classification ⋮ Principal bundles with holomorphic connections over a Kähler Calabi-Yau manifold ⋮ Generalized holomorphic Cartan geometries ⋮ Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure ⋮ Holomorphic connections on holomorphic bundles on Riemann surfaces ⋮ Stability and holomorphic connections on vector bundles over LVMB manifolds

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