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arXiv · 1805.00536

Complex structures, moment maps, and the Ricci form (Extended Version)

Oscar Garcia-Prada·Dietmar Salamon·Samuel Trautwein
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Abstract

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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Oscar Garcia-Prada, Dietmar Salamon, Samuel Trautwein. 2018-05-01. Complex structures, moment maps, and the Ricci form (Extended Version). https://arxiv.org/abs/1805.00536

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