2 papers
math.GT2025
On genus theory for 3-manifolds in arithmetic topology
Hirotaka Tashiro
Based on the analogies of arithmetic topology, we show a topological analogue of Hilbert's Satz 90 for idele groups and utilize our previously established Hasse norm principle to p…
math.GT2024
On Hasse norm principle for 3-manifolds in arithmetic topology
Hirotaka Tashiro
Following the analogies between knots and primes, 3-manifolds and number rings in arithmetic topology, we show a topological analogue of the Hasse norm principle for finite cyclic…