Colored Jones Polynomials of a Class of Singular Knots

本文计算了一类m股奇异排叉结的2n着色Jones多项式，该算法的核心技巧在于对Temperley-Lieb代数中的融合、三角等变换的合理运用。This paper computes the 2n-colored Jones polynomial of a class of m-strand singular pretzel links. The core technique of the algorithm lies in the judicious application of fusion, triangular transformations, and related operations in the Temperley-Lieb algebra.

Authors

Publication Details

Journal
Pure Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/pm.2025.157211
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Colored Jones Polynomials of a Class of Singular Knots

延泽 郭
Pure Mathematics
Geometric and Algebraic Topology
article

Colored Jones Polynomials of a Class of Singular Knots

延泽 郭
article en

Abstract

本文计算了一类m股奇异排叉结的2n着色Jones多项式，该算法的核心技巧在于对Temperley-Lieb代数中的融合、三角等变换的合理运用。This paper computes the 2n-colored Jones polynomial of a class of m-strand singular pretzel links. The core technique of the algorithm lies in the judicious application of fusion, triangular transformations, and related operations in the Temperley-Lieb algebra.

Pure MathematicsVol. 15(07)
Openalex Percentile: Top 77%
Geometric and Algebraic Topology
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Colored Jones Polynomials of a Class of Singular Knots — 延泽 郭 · Pure Mathematics (2025) | TGRS Research Map | TGRS