On the rack homology of graphic quandles

Sujoy Mukherjee; Józef H. Przytycki

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arXiv · 1712.01901

On the rack homology of graphic quandles

Sujoy Mukherjee·Józef H. Przytycki

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Abstract

This paper has partially a novel and partially a survey character. We start with a short review of rack (two term) homology of self distributive algebraic structures (shelves) and their connections to knot theory. We concentrate on a sub-family of quandles satisfying the graphic axiom. For a large family of graphic quandles (including infinite ones), we compute the second rack homology groups. Finally, we propose conjectures based on our computational data.

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BibTeX RIS

Sujoy Mukherjee, Józef H. Przytycki. 2017-12-05. On the rack homology of graphic quandles. https://arxiv.org/abs/1712.01901

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