Author

Andrea Tamburelli

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Preprint Oct 2026

Euler characteristic and flat cohomology of convex projective $4$-manifolds

Let $M=\Omega/\Gamma$ be a closed properly convex real projective $4$-manifold. We prove the Chern-Hopf-Thurston conjecture for this class of manifolds, i.e. $\chi(M)\geq0$. The argument transfers Akagawa's double-form identity on the Cheng--Yau cone over $\Omega$ to a Bochner identity on $M$, from which we deduce that...

Andrea Tamburelli · 0 citations

Preprint Sep 2026

On Line-Hyperplane Structures for Hitchin Representations

Let $n \geq 4$ and $\rho: \pi_1S \rightarrow PSL(n,\mathbb{R})$ be a Hitchin representation. We study the topology of a cocompact domain of discontinuity $\Omega_{\rho}$ in the flag manifold $\mathcal{F}_{1,n-1}$ of line-hyperplane pairs in $\mathbb{R}^n$ defined by Guichard-Wienhard. In particular, we lift $\Omega$ to...

Parker Evans, Andrea Tamburelli · 0 citations