Signatures of monic polynomials
Algebraic Geometry
2017-02-21 v1 Combinatorics
Abstract
To a univariate monic polynomial is attached a special planar forest that is called the picture of the polynomial. Isotopy classes of pictures are called signatures. All combinatorially possible signatures are realized and spaces of polynomials realizing a given signature are contractible. A finite cell complex for the cohomology of the braid groups is obtained.
Keywords
Cite
@article{arxiv.1702.05885,
title = {Signatures of monic polynomials},
author = {Norbert A'Campo},
journal= {arXiv preprint arXiv:1702.05885},
year = {2017}
}
Comments
15 pages, 6 figures