Braid monodromy and Alexander polynomials of real plane curves

TL;DR

This paper investigates the symmetries of braid monodromy decompositions for real plane curves and establishes new divisibility relations for their Alexander invariants, enhancing understanding of their topological properties.

Contribution

It introduces a novel analysis of braid monodromy symmetries and derives new divisibility relations for Alexander invariants of real plane curves.

Findings

Identified symmetries in braid monodromy decompositions.

Proved new divisibility relations for Alexander invariants.

Extended understanding of topological invariants of real plane curves.

Abstract

We describe symmetries of the braid monodromy decomposition for a class of plane curves defined over reals including the real curves with no real points and proving new divisibility relations for Alexander invariants of such curves.