Bidyut Sanki

activity

20152026

most citedFilling of closed Surfaces

6 citations · 9 across the 13 of their papers we have counts for

collaborators

15 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…

math.DG2023

Complexity in Bolza surface

Bhola Nath Saha, Bidyut Sanki

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

math.GT2023

Filling with separating curves

Bhola Nath Saha, Bidyut Sanki

A pair $(α, β)$ of simple closed curves on a closed and orientable surface $S_{g}$ of genus $g$ is called a filling pair if the complement is a disjoint union of topological disks. I…

math.GT2019

Isoperimetric Inequality for Disconnected Regions

Bidyut Sanki, Arya Vadnere

The discrete isoperimetric inequality in Euclidean geometry states that among all $n$ -gons having a fixed perimeter $p$ , the one with the largest area is the regular $n$ -gon. The s…

math.GT2019★ 2 cited

A conjecture on the lengths of filling pairs

Bidyut Sanki, Arya Vadnere

A pair $(α, β)$ of simple closed geodesics on a closed and oriented hyperbolic surface $M_{g}$ of genus $g$ is called a filling pair if the complementary components of $α \cup β$ in $M…

math.GT2017

Filling systems on surfaces

Shiv Parsad, Bidyut Sanki

Let $F_{g}$ be a closed orientable surface of genus $g$ . A set $Ω = {γ_{1}, \dots, γ_{s}}$ of pairwise non-homotopic simple closed curves on $F_{g}$ is called a \emph{filling system} or…

math.GT2017

Geometric realizations of cyclic actions on surfaces

Shiv Parsad, Kashyap Rajeevsarathy, Bidyut Sanki

Let $Mod (S_{g})$ denote the mapping class group of the closed orientable surface $S_{g}$ of genus $g \geq 2$ , and let $f \in Mod (S_{g})$ be of finite order. We give an induc…

math.GT2017★ 1 cited

Embedding of metric graphs on hyperbolic surfaces

Bidyut Sanki

An embedding of a metric graph $(G, d)$ on a closed hyperbolic surface is \emph{essential}, if each complementary region has a negative Euler characteristic. We show, by constructi…

math.GT2015★ 6 cited

Filling of closed Surfaces

Bidyut Sanki

Let $F_{g}$ denote a closed oriented surface of genus $g$ . A set of simple closed curves is called a filling of $F_{g}$ if its complement is a disjoint union of discs. The mapping clas…

math.GT2015

Graphs of Systoles on hyperbolic surfaces

Bidyut Sanki, Siddhartha Gadgil

Given a hyperbolic surface, the set of all closed geodesics whose length is minimal form a graph on the surface, in fact a so-called fat graph, which we call the systolic graph. We…