3 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.GT2023
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…
math.GT2020
Factoring periodic maps into Dehn twists
Neeraj K. Dhanwani, Ajay K. Nair, Kashyap Rajeevsarathy
Let be the mapping class group of the closed orientable surface of genus . In this paper, we develop various methods for factoring periodic mappin…