Cohomological Approach to Class Field Theory in Arithmetic Topology

DOI10.4153/CJM-2018-020-0zbMath1492.57012MaRDI QIDQ5224976

Tomoki Mihara

Publication date: 25 July 2019

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

branched coveringclass field theoryarithmetic topologyknots and prime numbers

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Miscellaneous applications of number theory (11Z05) Class field theory (11R37) Low-dimensional topology of special (e.g., branched) coverings (57M12) Class field theory; (p)-adic formal groups (11S31) Local properties of generalized manifolds (57P05) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15) Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (4)

Idèlic class field theory for 3-manifolds and very admissible links ⋮ Chebotarev links are stably generic ⋮ Olympic links in a Chebotarev link ⋮ A Hilbert reciprocity law on 3-manifolds

Cites Work

• Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009)
• Differential Topology
• Idèlic class field theory for 3-manifolds and very admissible links
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