复杂结构、矩映射和Ricci形式

IF 0.5 4区数学 Q3 MATHEMATICS

Asian Journal of Mathematics Pub Date : 2018-05-01 DOI:10.4310/AJM.2020.V24.N5.A5

O. García-Prada, D. Salamon, Samuel Trautwein

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引用次数: 3

摘要

里奇形式是精确保体积微分同态群在几乎复杂结构空间上作用的矩映射。这一观察结果为具有实第一Chern类零和非空Kahler锥的复杂结构的同位素类的Teichmuller空间上的Weil-Petersson辛形式提供了一种新的方法。

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Complex structures, moment maps, and the Ricci form

The Ricci form is a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This observation yields a new approach to the Weil-Petersson symplectic form on the Teichmuller space of isotopy classes of complex structures with real first Chern class zero and nonempty Kahler cone.

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