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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...
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...
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...
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−...
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...

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