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Jones polynomial and knot transitions in Hermitian and non-Hermitian topological semimetals
Hermitian Topological semimetal Junction Transition
2023/1/4
Topological nodal line semimetals can host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this talk, I will show how to use the Jones polynomial (wh...
The SL_3 Jones polynomial of the trefoil: a case study of $q$-holonomic recursions
The SL_3 Jones polynomial $q$-holonomic recursions
2010/12/27
The SL_3 colored Jones polynomial of the trefoil knot is a $q$-holonomic sequence of two variables with natural origin, namely quantum topology. The paper presents an explicit set of generators for th...
This work gives the construction of an "activity matrix" whose determinant gives Tutte's activity words associated with spanning trees of the signed Tait graph coming from a pretzel knot diagram. Eva...
A Unified Model of All Generalizations from the Jones Polynomial
Jones polynomial skein relation tangle algebra recursion formula
2007/8/15
2001Vol.35No.4pp.431-434DOI:
A Unified Model of All Generalizations from the Jones Polynomial
QIAN Shang-Wu1 and GU Zhi-Yu2
1 Department of Physics, Peking University, B...