Work

Markov's conjecture on integral necklaces

Year: 2025

Type: article

Abstract: We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum of the modular torus to rewrite the conjecture in combinatorial terms by explicitly describing this set of lengths.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70178

Author: David Fisac

Institution: Universitat Autònoma de Barcelona

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Fonds National de la Recherche Luxembourg, Ministerio de Ciencia e Innovación, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación

Awards: G1295755580, G2422984422, G2946950828, G6045789513

OpenAlex ID: W4413429457

FWCI:

Cites: 11

Cited by:

Related to: 10