D. Das

collaborators

5 papers

math.GT2026

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.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

Simple lift of non-simple closed curves

Deblina Das, Arpan Kabiraj

Given a compact, oriented surface $S$ of finite genus and finitely many boundary components, we provide examples of finite covers $S ~$ of $S$ and non-simple closed curves $Î…

math.GT2026

Non-injectivity of the trace map for character varieties

Deblina Das, Arpan Kabiraj

Given a closed oriented surface $I^£$ 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.GT2026

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 $I^^{3}$ on the bouquet of $n$ -circles $I^$ , admits a lift to a finite $l$ -sheeted normal covering of $I^$ …

Orderability and Asymptotic Structure of QI(Rn)

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

Simple lift of non-simple closed curves

Non-injectivity of the trace map for character varieties

Lifting closed curves to finite covers of free groups

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

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