2017/12/05 by Mukherjee, Sujoy, Przytycki, Józef H.
#18G60 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Primary: 57M25. Secondary: 57M27
paper · doi:10.48550/arxiv.1712.01901
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.