A new formula for rotation number
Geometric Topology
2020-10-06 v1 Algebraic Topology
Abstract
We give a new formula for the rotation number (or Whitney index) of a smooth closed plane curve. This formula is obtained from the winding numbers associated with the regions and the crossing points of the curve. One difference with the classic Whitney formula is that ours does not need a base point.
Keywords
Cite
@article{arxiv.2010.01422,
title = {A new formula for rotation number},
author = {Damián Wesenberg},
journal= {arXiv preprint arXiv:2010.01422},
year = {2020}
}