Hyper-Kähler and quaternionic Kähler manifolds with \(S^{1}\)-symmetries
From MaRDI portal
Publication:2479317
DOI10.1016/j.geomphys.2007.11.004zbMath1143.53043arXiv0706.4473OpenAlexW1978515183MaRDI QIDQ2479317
Publication date: 26 March 2008
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0706.4473
quaternionic Kähler manifoldshyper-Kähler manifoldshyper-Kähler potentialquaternionic Riemannian manifolds
Related Items
Hyperkähler sigma model and field theory on Gibbons-Hawking spaces, Special geometry, Hessian structures and applications, The c-map as a functor on certain variations of Hodge structure, D3-instantons, mock theta series and twistors, Curvature of quaternionic Kähler manifolds with \(S^1\)-symmetry, ASK/PSK-correspondence and the \(r\)-map, Isometries, gaugings and \( \mathcal{N} =2\) supergravity decoupling, The exceptional generalised geometry of supersymmetric AdS flux backgrounds, Theta series, wall-crossing and quantum dilogarithm identities, Semiclassical framed BPS states, Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures, Special geometry of Euclidean supersymmetry. IV: The local c-map, S-duality and the universal isometries of q-map spaces, The para-HK/QK correspondence, On the hyperkähler/quaternion Kähler correspondence, Conification of Kähler and hyper-Kähler manifolds, Quaternion-Kähler manifolds near maximal fixed point sets of \(S^1\)-symmetries, A class of locally inhomogeneous complete quaternionic Kähler manifolds, Einstein metrics on bundles over Hyperkähler manifolds, Twisted hyperkähler symmetries and hyperholomorphic line bundles, \(c\)-Map as \(c=1\) string, Twist, elementary deformation and K/K correspondence in generalized geometry, Rigid limit for hypermultiplets and five-dimensional gauge theories, Hyperkähler cones and instantons on quaternionic Kähler manifolds, Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence, Twist geometry of the c-map, Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds, S-duality in twistor space, The quaternionic/hypercomplex-correspondence, Manifolds with holonomy \(\mathrm{U}^\ast (2m)\), Energy of sections of the Deligne-Hitchin twistor space, Projective geometry and the quaternionic Feix–Kaledin construction, Rozansky-Witten theory, localised then tilted, Affine special Kähler structures in real dimension two, A hyperholomorphic line bundle on certain hyperkähler manifolds not admitting an \(S^1\)-symmetry, The Hyperholomorphic Line Bundle, Special geometries associated to quaternion-Kähler 8-manifolds, Quaternionic Kähler metrics associated with special Kähler manifolds, Heisenberg symmetry and hypermultiplet manifolds
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- HyperKähler and quaternionic Kähler geometry
- A generalization of the momentum mapping construction for quaternionic Kähler manifolds
- Hyperkähler metrics and supersymmetry
- Quaternionic reduction and quaternionic orbifolds
- Compatible almost complex structures on quaternion Kähler manifolds
- Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
- Quaternionic reduction and Einstein manifolds
- Hyperkähler metrics on cotangent bundles
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- The Self-Duality Equations on a Riemann Surface
- Métriques kählériennes et fibrés holomorphes
- Circle Actions and Morse Theory on Quaternion-Kähler Manifolds
- The geometry and topology of toric hyperkähler manifolds
