3 papers
math.GT2026
A Neukirch-Uchida Theorem for 3-Manifolds
Nadav Gropper, Jun Ueki, Yi Wang
The classical Neukirch-Uchida theorem states that the absolute Galois group determines a number field up to isomorphism. We prove an analogue of this theorem for 3-manifolds in the…
math.NT2025
Arithmetic field theory via pro-p duality groups
Nadav Gropper, Oren Ben-Bassat
Using the theory of pro-p groups and relative Poincaré duality, we define a type of cobordism category well suited to arithmetic topology. We completely classify topological quantu…
math.NT2023
Surfaces and p-adic fields I: Dehn twists
Nadav Gropper
Following the philosophy of arithmetic topology, we describe a point of view which helps look at surfaces and -adic fields in a "uniform way", and show that results on mapping c…