Reduction of Courant algebroids and generalized complex structures by Bursztyn, H, Cavalcanti, G, Gualtieri, M

On the Real Homotopy Type of Generalized Complex Nilmanifolds by Adela Latorre, Luis Ugarte, Raquel Villacampa

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Generalized almost even-Clifford manifolds and their twistor spaces by Hernández-Moguel Luis Fernando, Herrera Rafael

Subjects: “…generalized complex structure…”
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Formality in generalized Kähler geometry by Cavalcanti, G

“…This is done by showing that a certain differential graded algebra associated to a generalized complex manifold is formal in the generalized Kahler case, while it is never formal for a generalized complex structure on a nilpotent Lie algebra.…”

Abelian Complex Structures and Generalizations by Poon Yat Sun

“…After a review on the development of deformation theory of abelian complex structures from both the classical and generalized sense, we propose the concept of semi-abelian generalized complex structure. We present some observations on such structure and illustrate this new concept with a variety of examples.…”
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Brane quantization of toric Poisson varieties by Bischoff, F, Gualtieri, M

“…Beginning with a prequantized Kähler structure, we use a holomorphic Poisson tensor to deform the underlying complex structure into a generalized complex structure, such that the prequantum line bundle and its tensor powers deform to a sequence of generalized complex branes. …”

Mirror symmetry and generalized complex manifolds: Part II. Integrability and the transform for torus bundles by Ben-Bassat, O

“…We work with semi-flat generalized complex structures on real n-torus bundles with section over an n-dimensional base and use the transform on vector bundles developed in Part I of this paper to discuss the bijective correspondence between semi-flat generalized complex structures on pairs of dual torus bundles. …”

T-duality on nilmanifolds by Viviana del Barco, Lino Grama, Leonardo Soriani

“…Abstract We study generalized complex structures and T-duality (in the sense of Bouwknegt, Evslin, Hannabuss and Mathai) on Lie algebras and construct the corresponding Cavalcanti and Gualtieri map. …”
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Complex structures, T-duality and worldsheet instantons in Born sigma models by Tetsuji Kimura, Shin Sasaki, Kenta Shiozawa

“…Abstract We investigate doubled (generalized) complex structures in 2D-dimensional Born geometries where T-duality symmetry is manifestly realized. …”
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Mirror symmetry and generalized complex manifolds. Part I. The transform on vector bundles, spinors, and branes by Ben-Bassat, O

“…We show that semi-flat generalized complex structures give rise to a pair of transverse Dirac structures on the base manifold. …”

Toric Calabi-Yau Fourfolds, Duality Between N=1 Theories and Divisors that Contribute to the Superpotential by Braun, V, Candelas, P, Ossa, X, Grassi, A

“…In these cases the `dissident' divisor D does not remain an effective divisor for general complex structure. If however the arithmetic genus is less than or equal to 0, then the divisor is general in moduli and there is a genuine instability.…”

Distribution of selected trace elements and stable isotopes at various trophic levels of Sungai Pulai Estuary, Johor, Malaysia by Mukhtar, Aqilah

“…Stable isotope analysis was applied in order to construct the food web of seagrass area referred to the scientific ratios of δ13C and δ15N. In general, complex structure of seagrass ecosystem consisted of five trophic levels. …”
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Generalized geometry of type Bn by Rubio, R

“…</p> <p>We define <em>B_n</em>-generalized complex structures (<em>B_n</em>-gcs), which exist both in even and odd dimensional manifolds. …”