arXiv subjects

Hirotaka Tashiro

Publications and source records attributed to Hirotaka Tashiro.

2 recordsLinked to original sources

arXiv2025

On genus theory for 3-manifolds in arithmetic topology

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 present a proof of an Iyanaga--Tamagawa type genus formula for finite abelian branched covers over integral homology 3-spheres in a very parallel manner to the case of number theory.

math.GT↗

arXiv2024

On Hasse norm principle for 3-manifolds in arithmetic topology

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 coverings of 3-manifolds, which was originally stated for finite cyclic extensions of number fields.

math.GT↗