17 citations · 71 across the 20 of their papers we have counts for
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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…
Bi-invariant metrics and quasi-morphisms on groups of Hamiltonian diffeomorphisms of surfaces
Michael Brandenbursky
Let Σ_g be a closed orientable surface let Diff_0(Σ_g; area) be the identity component of the group of area-preserving diffeomorphisms of Σ_g. In this work we present an extension…
On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces
Michael Brandenbursky
Let be a closed hyperbolic surface of genus and let be the group of Hamiltonian diffeomorphisms of . The most natural word metric on this group is the aut…
On the large-scale geometry of the L^p-metric on the symplectomorphism group of the two-sphere
Michael Brandenbursky, Egor Shelukhin
We prove that the vector space R^d of any finite dimension d with the standard metric embeds in a bi-Lipschitz way into the group of area-preserving diffeomorphisms G of the two-sp…
Coloring Link Diagrams And Conway-type Polynomial Of Braids
Michael Brandenbursky
In this paper we define and present a simple combinatorial formula for a 3-variable Laurent polynomial invariant of conjugacy classes in Artin braid group . We show that this…