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Veech groups of covers of the Chamanara surface
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We study finite abelian covers of the Chamanara surface, an example of a finite-area infinite translation surface with interesting dynamics and a large Veech group. Specifically, t…
Realizing groups as symmetries of infinite translation surfaces
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We provide a complete classification of groups that can be realized as isometry groups of a translation surface with non-finitely generated fundamental group and no planar ends…
Flip graph and arc complex finite rigidity
Chandrika Sadanand, Emily Shinkle
A subcomplex of a cell complex is called \emph{rigid} with respect to another cell complex if every injective simplicial map $λ:\mathcal{…
Heegaard splittings and virtually special square complexes
Chandrika Sadanand
We give a new perspective of Heegaard splittings in terms square complexes and Guirardel's notion of a \textit{core} which allows for combinatorial measurement of the obstruction t…
Hyperbolic cone metrics and billiards
Viveka Erlandsson, Christopher J. Leininger, Chandrika Sadanand
A negatively curved hyperbolic cone metric is called rigid if it is determined (up to isotopy) by the support of its Liouville current, and flexible otherwise. We provide a complet…
You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
Moon Duchin, Viveka Erlandsson, Christopher J. Leininger +1
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tab…