Sayantika Mondal

collaborators

Showing math.GTShow all

4 papers · 1 filter

math.GT2026

The inf spectrum of moduli space

Ara Basmajian, Sayantika Mondal, Hugo Parlier

Given a surface of genus $g \geq 2$ , its inf spectrum is the ordered multiset of inf lengths of curves on the surface, the infimum being over all hyperbolic metrics. We show that t…

math.GT2026

Asymptotic enumeration of minimally intersecting filling curve systems on closed surfaces

Sayantika Mondal

Let $S_{g}$ be the closed oriented surface of genus $g \geq 2$ , and let $Γ$ be a finite collection of closed curves on $S_{g}$ that fills, in the sense that its complement is a union o…

math.GT2025

Distinguishing Curve Types and Designer Metrics

Ara Basmajian, Sayantika Mondal

Let $γ$ be a filling curve on a topological surface $Σ$ of genus $g \geq 2$ . The inf invariant of $γ$ , denoted $m_{γ}$ , is the infimum of the length function on the space of marked h…

math.GT2025

Estimating distances in simplicial complexes with applications to 3-manifolds and handlebody-knots

Sayantika Mondal, Puttipong Pongtanapaisan, Hanh Vo

We study distance relations in various simplicial complexes associated with low-dimensional manifolds. In particular, complexes satisfying certain topological conditions with verti…