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<p>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.</p>

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On Hasse norm principle for 3-manifolds in arithmetic topology

  • 期刊论文

  • 发表日期：

    2025年3月28日

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  • Hirotaka Tashiro

摘要

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.