5 papers
The inf spectrum of moduli space
Ara Basmajian, Sayantika Mondal, Hugo Parlier
Given a surface of genus , 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…
Asymptotic enumeration of minimally intersecting filling curve systems on closed surfaces
Sayantika Mondal
Let be the closed oriented surface of genus , and let be a finite collection of closed curves on that fills, in the sense that its complement is a union o…
Optical probing of magnons and phonons in Ni80Fe20 nanodot arrays
A. Adhikari, P. Graczyk, A. K. Chaurasiya +3
Control of collective spin excitations by static or dynamic strain is an emerging phenomenon that requires in-depth understanding for design of future spin-wave-regulated devices.…
Distinguishing Curve Types and Designer Metrics
Ara Basmajian, Sayantika Mondal
Let be a filling curve on a topological surface of genus . The inf invariant of , denoted , is the infimum of the length function on the space of marked h…
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…