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math.GT2025
On distributional topological complexity of groups and manifolds
Alexander Dranishnikov
We prove the equality $\dTC(Γ)=\TC(Γ)$ for distributional topological complexity of torsion free hyperbolic and of torsion free nilpotent groups. For the distributional topological…
math.GT2025
Curvature, macroscopic dimensions, and symmetric products of surfaces
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari
We present a detailed study of the curvature and symplectic asphericity properties of symmetric products of surfaces. We show that these spaces can be used to answer nuanced questi…