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arXiv · 1702.05885

Signatures of monic polynomials

Norbert A'Campo
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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.

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Norbert A'Campo. 2017-02-20. Signatures of monic polynomials. https://arxiv.org/abs/1702.05885

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