Arithmetic Dijkgraaf-Witten invariants for real quadratic fields, quadratic residue graphs, and density formulas

DOI10.1007/s40993-023-00471-9arXiv2308.05467OpenAlexW4387166770MaRDI QIDQ6054740

Toshiki Matsusaka, Riku Kurimaru, Yuqi Deng

Publication date: 25 October 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.05467

zbMATH Keywords

natural densityarithmetic topologyquadratic residue grapharithmetic Dijkgraaf-Witten invariant

Mathematics Subject Classification ID

Algebraic number theory: global fields (11R99) Eulerian and Hamiltonian graphs (05C45) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009)
• Topological gauge theories and group cohomology
• Arithmetic Chern-Simons theory. I
• Notes on étale cohomology of number fields
• A mean value estimate for real character sums
• Arithmetic Chern–Simons theory with real places
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