Complex structures, moment maps, and the Ricci form
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Date
2020-10
Publication Type
Journal Article
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yes
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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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published
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Journal / series
Volume
24 (5)
Pages / Article No.
821 - 854
Publisher
International Press
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Subject
moment map; almost complex structure; Ricci form; Teichmuller space