Stable generalized complex structures
Stable generalized complex structures
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稳定的广义复杂结构
DOI：
10.1112/plms.12093
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发表时间：
2015
影响因子：
1.8
通讯作者：
M. Gualtieri
中科院分区：
文献类型：
--
作者：
G. Cavalcanti;M. Gualtieri
稳定的广义复结构是一种一般辛但沿实余维二子流形退化的结构，它定义了广义卡拉比-丘结构。我们引入了一种形式主义，它允许我们将此类结构视为具有对数或椭圆类型奇点的辛形式。这使我们能够定义两种周期图：一种用于变形，其中背景 3 型通量固定，另一种用于允许通量变化。结果，我们证明了每个变形问题的无障碍性。我们使用相同的方法为简并轨迹以及称为拉格朗日膜的拉格朗日子流形的类似物建立局部分类定理。
A stable generalized complex structure is one that is generically symplectic but degenerates along a real codimension two submanifold, where it defines a generalized Calabi–Yau structure. We introduce a formalism which allows us to view such structures as symplectic forms with singularities of logarithmic or elliptic type. This allows us to define two period maps: one for deformations in which the background 3‐form flux is fixed, and one for which the flux is allowed to vary. As a result, we prove the unobstructedness of each of these deformation problems. We use the same approach to establish local classification theorems for the degeneracy locus as well as for analogues of Lagrangian submanifolds called Lagrangian branes.
DOI：
--
发表时间：
2016
期刊：
--
影响因子：
--
作者：
R. Goto;Kenta Hayano
通讯作者：
R. Goto;Kenta Hayano