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math.GT2025
On quasimorphisms and distortion in homeomorphism groups
Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1
Let be a smooth compact oriented connected manifold, and the group of homeomorphisms of supported away from which preserve a Borel probab…
math.GT2025
The -diameter of the space of contractible loops
Michael Brandenbursky, Egor Shelukhin
We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area-preserv…