2 citations · 2 across the 3 of their papers we have counts for
3 papers
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.GT2022
Surfaces of infinite-type are non-Hopfian
Sumanta Das, Siddhartha Gadgil
We show that finite-type surfaces are characterized by a topological analog of the Hopf property. Namely, an oriented surface is of finite-type if and only if every proper map…
math.GT2021★ 2 cited
Strong Topological Rigidity of Non-Compact Orientable Surfaces
Sumanta Das
We show that every orientable infinite-type surface is properly rigid as a consequence of a more general result. Namely, we prove that if a homotopy equivalence between any two non…