A Hilbert reciprocity law on 3-manifolds

DOI10.1007/s40687-022-00364-wOpenAlexW4311252308MaRDI QIDQ2105829

Jun Ueki, Hirofumi Niibo

Publication date: 8 December 2022

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02178

zbMATH Keywords

knotHilbert symbol3-manifoldarithmetic topologyidelic class field theory

Mathematics Subject Classification ID

Class field theory (11R37) General topology of 3-manifolds (57K30)

Cites Work

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• Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009)
• Knots which behave like the prime numbers
• Chebotarev links are stably generic
• On $3$-dimensional foliated dynamical systems and Hilbert type reciprocity law
• Cohomological Approach to Class Field Theory in Arithmetic Topology
• IDÈLIC CLASS FIELD THEORY FOR 3-MANIFOLDS
• Idèlic class field theory for 3-manifolds and very admissible links
• On the homology of branched coverings of 3-manifolds

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