6 papers
Poisson bracket of trace functions on the Fuchsian locus and Wolpert's formulas
Deblina Das, Arpan Kabiraj
We develop a systematic method for computing traces of products of Möbius transformations associated with oriented geodesics on a hyperbolic surface. The method is based on a norma…
A structure theorem for centralizers of dilations in
Swarup Bhowmik, Deblina Das
We study centralizers of dilations in the quasi-isometry group of the positive real line. We introduce an asymptotic invariant defined via coarsely dense sequences at infinity and…
Non-injectivity of the trace map for character varieties
Deblina Das, Arpan Kabiraj
Given a closed oriented surface of genus at least two, the Goldman trace map defines a function from the vector space generated by the free homotopy classes of oriented closed…
Orderability and Asymptotic Structure of
Swarup Bhowmik, Deblina Das, Kashyap Rajeevsarathy
In this article, we study the algebraic and dynamical structure of certain normal subgroups of the quasi-isometry group of Euclidean spaces. We first consider the normal subgroup c…
Lifting closed curves to finite covers of free groups
Deblina Das, Arpan Kabiraj
In this article, we show that given any integer , every closed curve on the bouquet of -circles , admits a lift to a finite -sheeted normal covering of . E…
Simple lift of non-simple closed curves
Deblina Das, Arpan Kabiraj
Given a compact, oriented surface of finite genus and finitely many boundary components, we provide examples of finite covers of and non-simple closed curves $γ…