17 citations · 71 across the 32 of their papers we have counts for
38 papers
Multivariate Alexander quandles, V. Constructing the medial quandle of a link
Lorenzo Traldi
We explain how the medial quandle of a classical or virtual link can be built from the peripheral structure of the reduced Alexander module.
Peripheral elements in reduced Alexander modules
Lorenzo Traldi
We discuss meridians and longitudes in reduced Alexander modules of classical and virtual links. When these elements are suitably defined, each link component will have many meridi…
A note on geometric duality in matroid theory and knot theory
Lorenzo Traldi
We observe that for planar graphs, the geometric duality relation generates both 2-isomorphism and abstract duality. This observation has the surprising consequence that for links,…
Linking numbers, quandles and groups
Lorenzo Traldi
We introduce a quandle invariant of classical and virtual links, denoted . This quandle has the property that if and only if the componen…
Matroids that classify forests
Lorenzo Traldi
Elementary arguments show that a tree or forest is determined (up to isomorphism) by binary matroids defined using the adjacency matrix.
Multivariate Alexander quandles, IV. The medial quandle of a link
Lorenzo Traldi
Joyce observed that the Alexander invariant and the medial quandle of a classical knot are equivalent to each other, as invariants. In the present paper, we discuss the rather comp…