Complex structures, moment maps, and the Ricci form (Extended Version)
Symplectic Geometry
2021-03-15 v4
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.
Keywords
Cite
@article{arxiv.1805.00536,
title = {Complex structures, moment maps, and the Ricci form (Extended Version)},
author = {Oscar Garcia-Prada and Dietmar Salamon and Samuel Trautwein},
journal= {arXiv preprint arXiv:1805.00536},
year = {2021}
}