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The label bracket for knotted trivalent graphs
Eva Horvat
We generalize the construction of Akimova and Manturov, define the label bracket for knotted trivalent graphs in and show it defines an isotopy invariant of such gra…
From biquandle structures to Hom-biquandles
Eva Horvat, Alissa S. Crans
We investigate the relationship between the quandle and biquandle coloring invariant and obtain an enhancement of the quandle and biquandle coloring invariants using biquandle stru…
Knot quandle decompositions
Alessia Cattabriga, Eva Horvat
We show that the fundamental quandle defines a functor from the oriented tangle category to a suitably defined quandle category. Given a tangle decomposition of a link , the fun…
The Alexander polynomial for closed braids in lens spaces
Boštjan Gabrovšek, Eva Horvat
We present a reduced Burau-like representation for the mixed braid group on one strand representing links in lens spaces and show how to calculate the Alexander polynomial of a lin…