Reduction of HKT-structures
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Publication:4832690
DOI10.1063/1.1487443zbMath1060.53054arXivmath/0201159OpenAlexW3100261325MaRDI QIDQ4832690
Yat Sun Poon, Gueo Grantcharov, George Papadopoulos
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0201159
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Momentum maps; symplectic reduction (53D20)
Related Items (8)
Reduction of Vaisman structures in complex and quaternionic geometry ⋮ Geometry of compact complex homogeneous spaces with vanishing first Chern class ⋮ New HKT manifolds arising from quaternionic representations ⋮ The general \((2, 2)\) gauged sigma model with three-form flux ⋮ Hodge theory of SKT manifolds ⋮ Properties of manifolds with skew-symmetric torsion and special holonomy ⋮ Twistor space of a generalized quaternionic manifold ⋮ The odd side of torsion geometry
Cites Work
- The hypercomplex quotient and the quaternionic quotient
- The moment map and equivariant cohomology
- Hyperkähler metrics and supersymmetry
- Real homotopy theory of Kähler manifolds
- Hyper-Kähler quotient construction of BPS monopole moduli spaces
- HKT and OKT geometries on soliton black hole moduli spaces
- Geometry of hyper-Kähler connections with torsion
- Twistor spaces for hyper-Kähler manifolds with torsion
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