New Invariant Quantity To Measure The Entanglement In The Braids

Authors

  • 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

Keywords:

Linkingnumber, Sato-Levineinvariant, Evans-Bergerformula, Magnetichelicity

Abstract

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 $\mathbb{R}^3\backslash \mathcal{B}_4$.

Dimensions

References

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Published

2022-10-11

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. https://doi.org/10.46481/jnsps.2022.1051

Issue

Volume 4, Issue 4, November 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Faik Mayah, Nisreen Alokbi, Ali Sabeeh Rasheed

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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. https://doi.org/10.46481/jnsps.2022.1051