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A pattern for torsion in Khovanov homology

Volume 270 / 2025

Raquel Díaz, Pedro M. G. Manchón Fundamenta Mathematicae 270 (2025), 75-97 MSC: Primary 57K10; Secondary 57K18 DOI: 10.4064/fm240810-12-3 Published online: 27 May 2025

Abstract

We prove that certain explicit sums of enhanced states produce torsion of order $2$ in Khovanov homology.

Authors

  • Raquel DíazDepartamento de Álgebra, Geometría y Topología
    Facultad de Ciencias Matemáticas
    Universidad Complutense de Madrid
    28040 Madrid, Spain
    e-mail
  • Pedro M. G. ManchónDepartamento de Matemática Aplicada a la Ingeniería Industrial
    Escuela Técnica Superior de Ingeniería y Diseño Industrial
    Universidad Politécnica de Madrid
    28012 Madrid, Spain
    e-mail

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