Michał Marcinkowski

activity

20122025

most citedCancelation norm and the geometry of biinvariant word metrics

17 citations · 28 across the 10 of their papers we have counts for

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Showing math.GTShow all

9 papers · 1 filter

math.GT2025

On quasimorphisms and distortion in homeomorphism groups

Michael Brandenbursky, Jarek Kedra, Michal Marcinkowski +1

Let $M$ be a smooth compact oriented connected manifold, and $Homeo_{0} (M, μ)$ the group of homeomorphisms of $M$ supported away from $\partial M,$ which preserve a Borel probab…

math.GT2023

Volume and Euler classes in bounded cohomology of transformation groups

Michael Brandenbursky, Michał Marcinkowski

Let $M$ be an oriented smooth manifold, and $Homeo (M, ω)$ the group of measure preserving homeomorphisms of $M$ , where $ω$ is a finite measure induced by a volume for…

math.GT2021

The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms

Michael Brandenbursky, Michał Marcinkowski, Egor Shelukhin

We prove a number of new results on the large-scale geometry of the $L^{p}$ -metrics on the group of area-preserving diffeomorphisms of each orientable surface. Our proofs use in a ke…

math.GT2019

Bounded cohomology of transformation groups

Michael Brandenbursky, Michal Marcinkowski

Let $M$ be a complete connected Riemannian manifold of finite volume. In this paper we present a new method of constructing classes in bounded cohomology of transformation groups s…

math.GT2017

Entropy and quasimorphisms

Michael Brandenbursky, Michał Marcinkowski

Let $S$ be a compact oriented surface. We construct homogeneous quasimorphisms on $D i f f (S, a r e a)$ , on $D i f f_{0} (S, a r e a)$ and on $H am (S)$ generalizing the constructions of Gambaudo-G…

math.GT2017

Aut-invariant norms and Aut-invariant quasimorphisms on free and surface groups

Michael Brandenbursky, Michał Marcinkowski

Let $F_{n}$ be the free group on $n$ generators and $Γ_{g}$ the surface group of genus $g$ . We consider two particular generating sets: the set of all primitive elements in $F_{n}$ and t…

math.GT2016

Burghelea conjecture and asymptotic dimension of groups

Alexander Engel, Michal Marcinkowski

We review the Burghelea conjecture, which constitutes a full computation of the periodic cyclic homology of complex group rings, and its relation to the algebraic Baum-Connes conje…

math.GT2014★ 3 cited

Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds

Michał Marcinkowski

We give the first examples of rationally inessential but macroscopically large manifolds. Our manifolds are counterexamples to the Dranishnikov rationality conjecture. For some of…

math.GT2013★ 17 cited

Cancelation norm and the geometry of biinvariant word metrics

Michael Brandenbursky, Światosław R. Gal, Jarek Kędra +1

We study biinvariant word metrics on groups. We provide an efficient algorithm for computing the biinvariant word norm on a finitely generated free group and we construct an isomet…