Michael Brandenbursky

activity

20092026

most citedCancelation norm and the geometry of biinvariant word metrics

17 citations · 71 across the 20 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.GT2016

Concordance of certain 3-braids and Gauss diagrams

Michael Brandenbursky

Let $β := σ_{1} σ_{2}^{- 1}$ be a braid in $B_{3}$ , where $B_{3}$ is the braid group on 3 strings and $σ_{1}, σ_{2}$ are the standard Artin generators. We use Gauss diagram formulas to show that f…

math.GT2016★ 6 cited

The $L^{p}$ -diameter of the group of area-preserving diffeomorphisms of $S^{2}$

Michael Brandenbursky, Egor Shelukhin

We show that for each $p \geq 1,$ the $L^{p}$ -metric on the group of area-preserving diffeomorphisms of the two-sphere has infinite diameter. This solves the last open case of a conj…

math.SG2016

The autonomous norm on $H am (R^{2 n})$ is bounded

Michael Brandenbursky, Jarek Kędra

We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard $R^{2 n}$ is bounded.

math.SG2016

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

Michael Brandenbursky, Jarek Kedra, Egor Shelukhin

We prove that the autonomous norm on the group of Hamiltonian diffeomorphisms of the two-dimensional torus is unbounded. We provide explicit examples of Hamiltonian diffeomorphisms…

Concordance of certain 3-braids and Gauss diagrams

The Lp-diameter of the group of area-preserving diffeomorphisms of S2

The autonomous norm on Ham(R2n) is bounded

On the autonomous norm on the group of Hamiltonian diffeomorphisms of the torus

The $L^{p}$ -diameter of the group of area-preserving diffeomorphisms of $S^{2}$

The autonomous norm on $H am (R^{2 n})$ is bounded