3 problems

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Conjecture on pressure-metric completion of the augmented Hitchin component
Let $S$ be a closed orientable surface, let $\widehat{\mathcal H}_3(S)$ be the augmented Hitchin component, and let $d^\phi$ be the path pseudo-metric on its strata induced by the…
Conjectureopenhitchin-representations moduli-spaces pressure-metricsarXiv posted 2 days ago
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Conjecture on unbounded pressure distance from the Fuchsian locus
Let $S$ be a closed orientable surface, let $d\ge 3$ , and let $\mathcal H_d(S)$ be the Hitchin component with pressure metric $\mathbb P^{\omega_1}$ . Let the Fuchsian locus be the…
Conjectureopenhitchin-representations pressure-metrics teichmuller-theoryarXiv posted 2 days ago
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Canary–Minsky–Taylor entropy-minimum conjecture for acylindrical 3-manifolds
Let $M$ be an acylindrical $3$ -manifold with no toroidal boundary components, and let $\Gamma=\pi_1(M)$ . Consider the space $CC(\Gamma,\mathsf{PSL}_2(\mathbb C))$ of convex-cocompa…
Conjectureopenhigher-teichmuller-theory hyperbolic-3-manifolds pressure-metricsarXiv posted 2 days ago

Conjecture on pressure-metric completion of the augmented Hitchin component