Christian El Emam

activity

20202025

most citedOn immersions of surfaces into SL(2,C) and geometric consequences

4 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.DG2024

Compatibility of Goldman's symplectic form with the complex structure on the $SL (3, R)$ Hitchin component

Christian El Emam, Nathaniel Sagman

We prove that, on the $SL (3, R)$ Hitchin component, the Goldman symplectic form and the Labourie-Loftin complex structure are compatible and together determine a (m…

math.CV2024

Holomorphic dependence for the Beltrami equation in Sobolev spaces

Christian El Emam, Nathaniel Sagman

We prove that, given a path of Beltrami differentials on $C$ that live in and vary holomorphically in the Sobolev space $W_{l oc}^{l, \infty} (Ω)$ of an open subset $Ω\subset…

Compatibility of Goldman's symplectic form with the complex structure on the SL(3,R) Hitchin component

Holomorphic dependence for the Beltrami equation in Sobolev spaces

Compatibility of Goldman's symplectic form with the complex structure on the $SL (3, R)$ Hitchin component