Mathematics > Differential Geometry
[Submitted on 4 Nov 2024]
Title:Compatibility of Goldman's symplectic form with the complex structure on the $\mathrm{SL}(3,\mathbb R)$ Hitchin component
View PDF HTML (experimental)Abstract:We prove that, on the $\mathrm{SL}(3,\mathbb R)$ Hitchin component, the Goldman symplectic form and the Labourie-Loftin complex structure are compatible and together determine a (mapping class group invariant) pseudo-Kähler structure.
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