Holomorphic string algebroids
Holomorphic string algebroids
复制标题
全纯弦代数体
DOI：
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发表时间：
2018
影响因子：
1.3
通讯作者：
C. Tipler
中科院分区：
文献类型：
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作者：
M. Garcia‐Fernandez;R. Rubio;C. Tipler
我们引入全纯弦代数胚范畴，其对象是Bressler所考虑的全纯主丛的Atiyah李代数胚的Courant扩张，其态射对应于Severa意义下的基础全纯Courant代数胚的内部态射。这个范畴为（复化）弦群的全纯主丛的Atiyah李代数胚及其态射提供了自然的候选者。我们的主要结果是弦代数胚的分类的Cech上同调，并通过微分分次李代数弦代数胚的变形的局部完整家庭的建设。
We introduce the category of holomorphic string algebroids, whose objects are Courant extensions of Atiyah Lie algebroids of holomorphic principal bundles, as considered by Bressler, and whose morphisms correspond to inner morphisms of the underlying holomorphic Courant algebroids in the sense of Severa. This category provides natural candidates for Atiyah Lie algebroids of holomorphic principal bundles for the (complexified) string group and their morphisms. Our main results are a classification of string algebroids in terms of Cech cohomology, and the construction of a locally complete family of deformations of string algebroids via a differential graded Lie algebra.