Nathaniel Sagman

activity

20202026

most citedUnstable minimal surfaces in symmetric spaces of non-compact type

5 citations · 8 across the 14 of their papers we have counts for

collaborators

Showing 2024Show all

4 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.DG2024

On Hitchin's equations for cyclic G-Higgs bundles

Nathaniel Sagman, Ognjen Tošić

We develop a Lie-theoretic perspective on Hitchin's equations for cyclic $G$ -Higgs bundles, which we use to study analytic and geometric properties of harmonic maps. Among other th…

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…

math.DG2024

Complex affine spheres and a Bers theorem for SL(3,C)

Christian El Emam, Nathaniel Sagman

For $S$ a closed surface of genus at least $2$ , let $Hit_{3} (S)$ be the Hitchin component of representations to $SL (3, R),$ equipped with the Labourie-Lofti…

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

On Hitchin's equations for cyclic G-Higgs bundles

Holomorphic dependence for the Beltrami equation in Sobolev spaces

Complex affine spheres and a Bers theorem for SL(3,C)

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