3 papers
math.GT2025
A parallel algorithm for the computation of the Jones polynomial
Kasturi Barkataki, Eleni Panagiotou
Knots, links and entangled filaments appear in many physical systems of interest in biology and engineering. Classifying knots and measuring entanglement is of interest both for ad…
math.GT2023
The Virtual Spectrum of Linkoids and Open Curves in 3-space
Kasturi Barkataki, Louis H. Kauffman, Eleni Panagiotou
The entanglement of open curves in 3-space appears in many physical systems and affects their material properties and function. A new framework in knot theory was introduced recent…
math.GT2023
The Jones polynomial in systems with Periodic Boundary Conditions
Kasturi Barkataki, Eleni Panagiotou
Entanglement of collections of filaments arises in many contexts, such as in polymer melts, textiles and crystals. Such systems are modeled using periodic boundary conditions (PBC)…