3 papers
math.GT2026
A note on longitudes of virtual knots
Lorenzo Traldi, Daniel S. Silver
It is a famous property that a longitude of a classical knot lies in the second commutator subgroup of the knot group. We observe that the same property holds for a longitude of a…
math.GT2025
Peripheral structures of core groups
Daniel S. Silver, Lorenzo Traldi
The core group is an invariant of unoriented virtual links. We introduce a peripheral structure for the core group, in which the longitudes are sensitive to orientations. We show t…
math.GT2024
Peripheral elements in reduced Alexander modules: an addendum
Daniel S. Silver, Lorenzo Traldi
We answer a question raised in ``Peripheral elements in reduced Alexander modules'' [J. Knot Theory Ramifications 31 (2022), 2250058]. We also correct a minor error in that paper.