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Variation of Hodge structure for generalized complex manifolds
Variation of Hodge structure generalized complex manifolds Differential Geometry
2012/5/9
A generalized complex manifold which satisfies the $\partial \overline{\partial}$-lemma admits a Hodge decomposition in twisted cohomology. Using a Courant algebroid theoretic approach we study the be...
Potential Theory on Almost Complex Manifolds
Potential Theory Almost Complex Manifolds Complex Variables
2011/9/5
Abstract: Pseudo-holomorphic curves on almost complex manifolds have been much more intensely studied than their "dual" objects, the plurisubharmonic functions. These functions are defined classically...
Complex structures on product of circle bundles over complex manifolds
Complex structures product of circle bundles complex manifolds
2011/1/17
Let ¯Li −→ Xi be a holomorphic line bundle over a compact complex manifold for i = 1, 2. Let Si denote the associated principal circle-bundle with respect to some hermitian inner product on...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
For a generic anti-canonical hypersurface in each smooth toric Fano 4−fold with rank 2 Picard group , we prove there exist three isolated rational curves in it . Moreover , for all these 4−...
The Fibered Isomorphism Conjecture for Complex Manifolds
Complex projective variety Complex surfaces Whitehead group Fibered isomorphism conjecture Negative $K$-groups
2007/12/11
In this paper we show that the Fibered Isomorphism Conjecture of Farrell and Jones, corresponding to the stable topological pseudoisotopy functor, is true for the fundamental groups of a class of comp...