2 papers
math.MG2026
From discrete to dense: explorations in the moduli space of triangles
Aahana Aggarwal, Subhojoy Gupta, Ajay K. Nair
The moduli space of triangles is a two-dimensional space that records triangle shapes in the plane, considered up to similarity. We study the subset corresponding to \textit{lattic…
math.GT2024
The Goldman bracket characterizes homeomorphisms between non-compact surfaces
Sumanta Das, Siddhartha Gadgil, Ajay Kumar Nair
We show that a homotopy equivalence between two non-compact orientable surfaces is homotopic to a homeomorphism if and only if it preserves the Goldman bracket, provided our surfac…