paper

On Hasse norm principle for 3-manifolds in arithmetic topology

arXiv:2404.06464 · doi:10.1007/s40687-025-00508-8

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.

8 pages, 2 figures

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