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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…