Zobrazeno 1 - 10
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pro vyhledávání: '"Marcinkowski, Michał"'
Let $M$ be an oriented smooth manifold, and $\operatorname{Homeo}(M,\omega)$ the group of measure preserving homeomorphisms of $M$, where $\omega$ is a finite measure induced by a volume form. In this paper we define volume and Euler classes in bound
Externí odkaz:
http://arxiv.org/abs/2308.15974
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 key way the Fulton-MacPherson type compactification of the configuration
Externí odkaz:
http://arxiv.org/abs/2105.04658
Autor:
Marcinkowski, Michał
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 883-893
We give a short proof that the $L^p$-diameter of the group of area preserving diffeomorphisms isotopic to the identity of a compact surface is infinite.
Comment: To appear in Algebraic & Geometric Topology
Comment: To appear in Algebraic & Geometric Topology
Externí odkaz:
http://arxiv.org/abs/2010.03000
Publikováno v:
Geometriae Dedicata (2021)
We investigate the geometry of word metrics on fundamental groups of manifolds associated with the generating sets consisting of elements represented by closed geodesics. We ask whether the diameter of such a metric is finite or infinite. The first a
Externí odkaz:
http://arxiv.org/abs/1904.11237
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 such as $Homeo_0(M,\mu)$, $Diff_0(M,vol)$ and $Symp_0(M,\omega)$ (in ca
Externí odkaz:
http://arxiv.org/abs/1902.11067
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Autor:
Marcinkowski, Michał
We show that the Aut-invariant word norm on right angled Artin and right angled Coxeter groups is unbounded (except in few special cases). To prove unboundedness we exhibit certain characteristic subgroups. This allows us to find unbounded quasimorph
Externí odkaz:
http://arxiv.org/abs/1803.00294
Let $S$ be a compact oriented surface. We construct homogeneous quasimorphisms on $Diff(S, area)$, on $Diff_0(S, area)$ and on $Ham(S)$ generalizing the constructions of Gambaudo-Ghys and Polterovich. We prove that there are infinitely many linearly
Externí odkaz:
http://arxiv.org/abs/1707.06020
Let $F_n$ be the free group on $n$ generators and $\Gamma_g$ the surface group of genus $g$. We consider two particular generating sets: the set of all primitive elements in $F_n$ and the set of all simple loops in $\Gamma_g$. We give a complete char
Externí odkaz:
http://arxiv.org/abs/1702.01662
Autor:
Engel, Alexander, Marcinkowski, Michal
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 conjecture. The Burghelea conjecture implies the Bass conjecture. We state
Externí odkaz:
http://arxiv.org/abs/1610.10076