2 problems

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Su's Poincaré duality conjecture for components of fixed point sets
Su's conjecture. Each connected component of $F$ also satisfies Poincaré duality.
Conjectureopencohomology fixed-point-sets transformation-groupsarXiv posted 3 days ago
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Masuda–Miyanishi conjecture on hypersurface components of fixed-point sets
Masuda–Miyanishi conjecture. $H$ is isomorphic to $\mathbb{C}^{n-1}$ .
Conjectureopenaffine-geometry fixed-point-sets polynomial-automorphismsarXiv posted 3 days ago

Su's Poincaré duality conjecture for components of fixed point sets