Desenvolvimento de uma aplicação Web para calcular o polinômio de Alexander

Abstract

With the advent of the modern age we have seen a significant increase in the speed with which we solve problems that used to take a long time. This transition to the digital age has brought with it the adaptation of various mathematical methods, which have been transformed into computer algorithms with the aim of making their application more accessible and effective. In this work we are going examine two invariants of Classical Knot Theory namely the Determinant of the knot and the Alexander Polynomial of the knot. Since these are obtained algorithmically they have been incorporated into the digital environment in order to simplify complex calculations and make a user-friendly algorithm available to the world. The main result of this work is the development of a web application that calculates the invariants Determinant and Alexander Polynomial. This application was made with PyScript which is an open-source web framework that allows you to create front-end web applications using the Python and JavaScript programming languages.