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The Intersection of holonomy varieties of $CP^1$-structures
Published 17 Feb 2025 in math.GT, math.CV, and math.DG | (2502.11322v2)
Abstract: Let $S$ be a closed orientable surface of genus at least two, and let $X, Y$ be distinct marked Riemann surface structures on $S$. We construct infinite pairs of $CP1$-structures on $X$ and on $Y$ sharing holonomy $\pi_1(S) \to PSL_2 C$.
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