6533b862fe1ef96bd12c6122
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On Hodge theory for the generalized geometry (I)
Guitang LanGuitang LanSen HuSen HuZhi HuZhi HuZhi Husubject
Hodge theoryHolomorphic functionGeneral Physics and AstronomyComplex differential formGeometryKähler manifoldModuli spaceMathematics::Algebraic GeometryMathematics::Differential GeometryGeometry and TopologyComplex manifoldHodge dualMathematics::Symplectic GeometryMathematical PhysicsHodge structureMathematicsdescription
Abstract We first investigate the linear Dirac structure from the viewpoint of a mixed Hodge structure. Then we discuss a Hodge-decomposition-type theorem for the generalized Kahler manifold and study the moduli space of a generalized weak Calabi–Yau manifold. We present a holomorphic anomaly equation and a one-loop partition function in a topological B-model under the generalized geometric context.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-08-01 | Journal of Geometry and Physics |