Bidyut Sanki

activity

20192026

collaborators

7 papers

math.GT2026

Systole Increasing Deformations to Maximal Translation Surfaces

Achintya Dey, Bidyut Sanki

A unit-area translation surface is called \emph{maximal} if it maximizes the length of the shortest saddle connection among all surfaces in the same stratum. We investigate whether…

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

Length minimization of filling pairs on hyperbolic surfaces

Ni An, Bhola Nath Saha, Bidyut Sanki

A filling pair $(α, β)$ of a surface $S_{g}$ is a pair of simple closed curves in minimal position such that the complement of $α \cup β$ in $S_{g}$ is a disjoint union of topological di…

math.GT2025

Systolic embedding of graphs on translation surfaces

Achintya Dey, Bidyut Sanki

An embedding of a graph on a translation surface is said to be \emph{systolic} if each vertex of the graph corresponds to a singular point (or marked point) and each edge correspon…

math.GT2025

Bolza-like surfaces in the Thurston set

Achintya Dey, Bhola Nath Saha, Bidyut Sanki

A surface in the Teichmüller space, where the systole function admits its maximum, is called a maximal surface. For genus two, a unique maximal surface exists, which is called the…

math.GT2024

Length of Filling Pairs on Punctured Surface

Bhola Nath Saha, Bidyut Sanki

A pair $(α, β)$ of simple closed curves on a surface $S_{g, n}$ of genus $g$ and with $n$ punctures is called a filling pair if the complement of the union of the curves is a disjoi…