Alexander Nolte

activity

20232026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.GT2024

Concave Foliated Flag Structures and the $SL_{3} (R)$ Hitchin Component

Alexander Nolte, J. Maxwell Riestenberg

We give a geometric characterization of flag geometries associated to Hitchin representations in $SL_{3} (R)$ . Our characterization is based on distinguished invariant…

math.GT2024

On Foliations in $PSL (4, R)$ -Teichmüller Theory

Alexander Nolte

We carry out a detailed study of the structure of domains of discontinuity $Ω_{ρ}$ in $RP^{3}$ of $PSL_{4} (R)$ -Hitchin representations $ρ$ . We then prove the fol…

math.GT2024

Metrics on Hitchin Components from Hölder Distortion

Alexander Nolte

We observe Thurston's asymmetric metric on Teichmüller space may be expressed in terms of the Hölder regularity of boundary maps. We then associate $2$ -dimensional stratified loci…

Concave Foliated Flag Structures and the SL3​(R) Hitchin Component

On Foliations in PSL(4,R)-Teichmüller Theory

Metrics on Hitchin Components from Hölder Distortion

Concave Foliated Flag Structures and the $SL_{3} (R)$ Hitchin Component

On Foliations in $PSL (4, R)$ -Teichmüller Theory