Delta-move and the extended homotopy index polynomial

We show that Δ-equivalence of tangles in a fixed surface is described by the extended homotopy index polynomial.

Authors

Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2026-10-28
DOI
https://doi.org/10.1142/s0218216526400171
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Delta-move and the extended homotopy index polynomial

Igor Nikonov
Journal of Knot Theory and Its Ramifications
Geometric and Algebraic Topology
article

Delta-move and the extended homotopy index polynomial

Igor Nikonov
article en

Abstract

We show that Δ-equivalence of tangles in a fixed surface is described by the extended homotopy index polynomial.

Journal of Knot Theory and Its Ramifications
Openalex Percentile: Top 7%
Geometric and Algebraic Topology
DOISourceOpenAlex
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