works on
algebraic topology 1commutator subgroups 1knot groups 1longitudes 1virtual knots 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.GT2026

A note on longitudes of virtual knots

Lorenzo Traldi, Daniel S. Silver

The paper shows that for virtual knots, the longitude element also lies in the second commutator subgroup of the knot group, extending a known property from classical knots.

math.GT2026

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.