3 papers
math.QA2025
The Kontsevich invariant and the action of the Grothendieck--Teichmüller group on -component string links
Hisatoshi Kodani, Yuta Nozaki
The Kontsevich invariant of links is independent of the choice of associator, whereas for tangles this is not the case in general. In this paper, we focus on -component string l…
math.CO2025
Colouring normal quadrangulations of projective spaces
Tomáš Kaiser, On-Hei Solomon Lo, Atsuhiro Nakamoto +2
Youngs proved that every non-bipartite quadrangulation of the projective plane is 4-chromatic. Kaiser and Stehl\'ık [J. Combin. Theory Ser. B 113 (2015), 1…
math.CO2024
Homotopy types of Hom complexes of graph homomorphisms whose codomains are square-free
Soichiro Fujii, Kei Kimura, Yuta Nozaki
Given finite simple graphs and , the Hom complex is a polyhedral complex having the graph homomorphisms as the vertices. We determine the homoto…