Delta Move Invariance of the L -Polynomials for Virtual Knots
We investigate when two virtual knots can be related by Δ-moves. We show that the L-polynomials are finite type invariants of order one. As a consequence, they are invariant under Δ-moves for any oriented virtual knot. As an application, we study virtual knots that can be converted into the trivial knot or the virtual knot 2.1 by a sequence of Δ-moves.
Authors
- Ryuji Higa (ORCID: https://orcid.org/0009-0005-0644-4184)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2026-11-06
- DOI
- https://doi.org/10.1142/s0218216526500732
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00