CALIBRATIONS IN HYPER-KÄHLER GEOMETRY
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Publication:4916152
DOI10.1142/S0219199712500605zbMath1268.53062arXiv1009.1178OpenAlexW2963580937WikidataQ125903641 ScholiaQ125903641MaRDI QIDQ4916152
Gueo Grantcharov, Misha Verbitsky
Publication date: 19 April 2013
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.1178
Related Items (4)
Absolutely trianalytic tori in the generalized Kummer variety ⋮ Existence of HKT metrics on hypercomplex manifolds of real dimension 8 ⋮ Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds ⋮ Subvarieties of hypercomplex manifolds with holonomy in \(SL(n,\mathbb H)\)
Cites Work
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- Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
- Rotation operators with multiplication and some of their generalizations
- Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry
- Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds
- Three-dimensional topological field theory and symplectic algebraic geometry. I
- Calibrated geometries
- Deformations of calibrated submanifolds
- Hypercomplex varieties
- Intersecting brane geometries
- The moduli space of complex Lagrangian submanifolds
- Geometry of hyper-Kähler connections with torsion
- Twistor spaces for hyper-Kähler manifolds with torsion
- Hyper-Kähler manifolds with torsion, supersymmetry and Hodge theory.
- Tri-analytic subvarieties of hyperkaehler manifolds
- Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables.
- Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry
- Yang-Mills fields on quaternionic spaces
- Quaternionic Dolbeault complex and vanishing theorems on hyperkähler manifolds
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