𝔽ζ-geometry, Tate motives, and the Habiro ring

DOI10.1142/S1793042115500189zbMath1327.14115arXiv1310.2261MaRDI QIDQ5248128

Catharine Wing Kwan Lo, Matilde Marcolli

Publication date: 27 April 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2261

zbMATH Keywords

field with one elementquantum modular formsTate motivesHabiro ring

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Polynomials over commutative rings (13B25) Arithmetic progressions (11B25)

Related Items

Congruences for Taylor expansions of quantum modular forms ⋮ \(q\)-deformations of statistical mechanical systems and motives over finite fields ⋮ Quantum statistical mechanics in arithmetic topology

Cites Work

• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Cyclotomic completions of polynomial rings
• An introduction to motivic Hall algebras
• Remarks on zeta functions and \(K\)-theory over \({\mathbb F}_1\)
• Cyclotomy and endomotives
• Exact results for perturbative Chern-Simons theory with complex gauge group
• Partitions and indefinite quadratic forms.
• Torified varieties and their geometries over \(\mathbb{F}_{1}\)
• A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
• Representations by skew forms in a finite field
• Schemes over 𝔽₁and zeta functions
• Values of zeta functions at s=1/2
• Nombres universels ou $\nu!$-adiques avec une introduction sur l'algèbre topologique
• Vassiliev invariants and a strange identity related to the Dedekind eta-function

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