Computing twisted Alexander polynomials for Montesinos links
Haimiao Chen
TL;DR
This paper introduces an efficient method for computing twisted Alexander polynomials for Montesinos links, facilitating the derivation of multi-variable Alexander polynomials and advancing tools in low-dimensional topology.
Contribution
The paper develops a novel, efficient computational approach for twisted Alexander polynomials specific to Montesinos links, enhancing existing methods in the field.
Findings
Efficient computation method for twisted Alexander polynomials of Montesinos links
Formulas for multi-variable Alexander polynomials derived from the new method
Improved tools for low-dimensional topology analysis
Abstract
In recent years, twisted Alexander polynomial has been playing an important role in low-dimensional topology. For Montesinos links, we develop an efficient method to compute the twisted Alexander polynomial associated to any linear representation. In particular, formulas for multi-variable Alexander polynomials of these links can be easily derived.
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