Topological classification of generic real rational functions
代数几何
2016-05-19 v1 组合数学
摘要
To any real rational function with generic ramification points we assign a combinatorial object, called a garden, which consists of a weighted labeled directed planar chord diagram and of a set of weighted rooted trees each corresponding to a face of the diagram. We prove that any garden corresponds to a generic real rational function, and that equivalent functions have equivalent gardens.
引用
@article{arxiv.math/0110235,
title = {Topological classification of generic real rational functions},
author = {Sergei Natanzon and Boris Shapiro and Alek Vainshtein},
journal= {arXiv preprint arXiv:math/0110235},
year = {2016}
}
备注
submitted to J. Knots Theory Ramifications