Debattam Das

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20232026

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math.GT2026

Minimal Filling pair of non orientable surfaces

Debattam Das, Souvik Pal, Bidyut Sanki

For $g \geq 3$ , let $N_{g}$ denote the non-orientable surface of genus $g$ . In this article, we establish the existence of filling pairs on $N_{g}$ that intersect minimally by constructi…

math.GT2026

Combinatorial Structure of Inert and Ambiguous Classes in Modular Group

Debattam Das, Krishnendu Gongopadhyay, Khushi Mishra

We study inert, and ambiguous conjugacy classes in the modular group $PSL (2, Z)$ from a purely combinatorial perspective. Using word length in the free product rep…

math.GT2024

Reversible and other generalised torsion elements in Seifert-fibered spaces

Anushree Das, Debattam Das

An element $a$ in a group $Γ$ is called \emph{reversible} if there exists $g \in Γ$ such that $g a g^{- 1} = a^{- 1}$ . The reversible elements are also known as `real elements' or `recip…