On Hasse norm principle for 3-manifolds in arithmetic topology

2024/04/09 by Hirotaka Tashiro, Tashiro, Hirotaka · 1 citation
Mathematics · Computer Science · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2404.06464

Abstract

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.

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• On genus theory for 3-manifolds in arithmetic topology

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