A polynomial invariant for plane curve complements: Krammer polynomials

DOI10.5427/jsing.2018.17czbMath1423.14207arXiv1707.05585OpenAlexW2962855030WikidataQ130127853 ScholiaQ130127853MaRDI QIDQ4607621

No author found.

Publication date: 14 March 2018

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05585

zbMATH Keywords

Krammer representationbraid monodromy\(n\)-gonal curvesKrammer polynomial

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30) Singularities of curves, local rings (14H20)

Uses Software

• SageMath

Cites Work

• Unnamed Item
• Alexander polynomial of plane algebraic curves and cyclic multiple planes
• Homological representations of the Hecke algebra
• Invariants of plane algebraic curves via representations of the braid groups
• The Burau representation is not faithful for \(n=5\)
• Computing the Braid Monodromy of Completely Reducible n -gonal Curves
• Braid groups are linear
• The braid group \(B_4\) is linear

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