New Invariant Quantity To Measure The Entanglement In The Braids


  • Faik Mayah Department of Software, College of Computer Science and IT, Wasit University, Wasit, Iraq
  • Nisreen Alokbi Department of Physics, College of Science, Wasit University, Wasit, Iraq
  • Ali Sabeeh Rasheed Ministry of Higher Education & Scientific Research, Baghdad, Iraq


Linkingnumber, Sato-Levineinvariant, Evans-Bergerformula, Magnetichelicity


In this work, we demonstrate  that the integral formula for a generalised Sato-Levine invariant is consistent in certain situations with Evans and Berger's formula for the fourth-order winding number. Also, we found that, in principle, one can derive analogous  high-order winding numbers by which one can calculate the entanglement of braids. The winding number for the Brunnian 4-braid is calculated algebraically using the cup product  on the cohomology of a finite regular CW-space which is the complement $\mathbb{R}^3\backslash \mathcal{B}_4$.



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How to Cite

New Invariant Quantity To Measure The Entanglement In The Braids. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 1051.



Original Research

How to Cite

New Invariant Quantity To Measure The Entanglement In The Braids. (2022). Journal of the Nigerian Society of Physical Sciences, 4(4), 1051.