D. Das

activity

20242026

collaborators

5 papers

math.GT2026

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…

math.GR2026

A structure theorem for centralizers of dilations in $Q I (R_{+})$

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…

math.GT2026

Non-injectivity of the trace map for character varieties

Deblina Das, Arpan Kabiraj

Given a closed oriented surface $Σ$ 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…

math.GT2025

Orderability and Asymptotic Structure of $QI (R^{n})$

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…

math.GT2024

Lifting closed curves to finite covers of free groups

Deblina Das, Arpan Kabiraj

In this article, we show that given any integer $l \geq 2$ , every closed curve $γ$ on the bouquet of $n$ -circles $Γ$ , admits a lift to a finite $l$ -sheeted normal covering of $Γ$ . E…

Poisson bracket of trace functions on the Fuchsian locus and Wolpert's formulas

A structure theorem for centralizers of dilations in QI(R+​)

Non-injectivity of the trace map for character varieties

Orderability and Asymptotic Structure of QI(Rn)

Lifting closed curves to finite covers of free groups

A structure theorem for centralizers of dilations in $Q I (R_{+})$

Orderability and Asymptotic Structure of $QI (R^{n})$