J. Danciger

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20052019

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math.GT2019

Quasicircles and width of Jordan curves in $CP^{1}$

Francesco Bonsante, Jeffrey Danciger, Sara Maloni +1

We study a notion of "width" for Jordan curves in $CP^{1}$ , paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geo…

math.GT2018

Affine actions with Hitchin linear part

Jeffrey Danciger, Tengren Zhang

Properly discontinuous actions of a surface group by affine automorphisms of $R^{d}$ were shown to exist by Danciger-Gueritaud-Kassel. We show, however, that if the linear pa…

math.GT2018

Proper affine actions for right-angled Coxeter groups

Jeffrey Danciger, François Guéritaud, Fanny Kassel

For any right-angled Coxeter group $Γ$ on $k$ generators, we construct proper actions of $Γ$ on $O (p, q + 1)$ by right and left multiplication, and on the Lie algebra $\mathf…

Quasicircles and width of Jordan curves in CP1

Affine actions with Hitchin linear part

Proper affine actions for right-angled Coxeter groups

Quasicircles and width of Jordan curves in $CP^{1}$