Andrea Tamburelli

activity

20242026

collaborators

4 papers

math.DG2026

Global comparison of pseudo-KÃ¤hler structures on the $SL (3, R)$ -Hitchin component

Andrea Tamburelli

We compare the closed $2$ -form $I ¨ _{f}$ constructed by Rungi-Tamburelli and Goldman's symplectic form $I ¨ _{G}$ on the $SL (3, R)$ -Hitchin component. In particular, we es…

math.DG2026

Limits of Cubic Differentials and Buildings

John Loftin, Andrea Tamburelli, Michael Wolf

In the Labourie-Loftin parametrization of the Hitchin component of surface group representations into SL(3,R), we prove an asymptotic formula for holonomy along rays in terms of lo…

math.DG2025

Para-complex geometry and cyclic Higgs bundles

Nicholas Rungi, Andrea Tamburelli

We introduce para-complex and pseudo-Riemannian geometric methods for the study of representations of surface groups in $SL (2 m + 1, R)$ . For $m = 1$ our techniques all…

math.DG2024

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and $SL (3, C)$ -quasi-Fuchsian representations

Nicholas Rungi, Andrea Tamburelli

In this paper we introduce complex minimal Lagrangian surfaces in the bi-complex hyperbolic space and study their relation with representations in $SL (3, C)$ . Our…

Global comparison of pseudo-KÃ¤hler structures on the SL(3,R)-Hitchin component

Limits of Cubic Differentials and Buildings

Para-complex geometry and cyclic Higgs bundles

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and SL(3,C)-quasi-Fuchsian representations

Global comparison of pseudo-KÃ¤hler structures on the $SL (3, R)$ -Hitchin component

Complex Lagrangian minimal surfaces, bi-complex Higgs bundles and $SL (3, C)$ -quasi-Fuchsian representations