A polynomial invariant for plane curve complements: Krammer polynomials
Algebraic Geometry
2017-07-19 v1 Algebraic Topology
Abstract
We use the Krammer representation of the braid group in Libgober's invariant and construct a new multivariate polynomial invariant for curve complements: Krammer polynomial. We show that the Krammer polynomial of an essential braid is equal to zero. We also compute the Krammer polynomials of some certain n-gonal curves.
Cite
@article{arxiv.1707.05585,
title = {A polynomial invariant for plane curve complements: Krammer polynomials},
author = {Mehmet Emin Aktas and Serdar Cellat and Hubeyb Gurdogan},
journal= {arXiv preprint arXiv:1707.05585},
year = {2017}
}