The multi-variable Affine Index Polynomial for tangles
Geometric Topology
2022-07-26 v1
Abstract
The multi-variable affine index polynomial was defined by the author in previous work. The aim of this short note is to update the definition so it is generalizable to virtual tangles and to show it is compatible with tangle decomposition. We also introduce the Turaev moves for virtual tangles, and discuss how to recover the weight of each crossing as an intersection pairing of homology classes.
Keywords
Cite
@article{arxiv.2207.12300,
title = {The multi-variable Affine Index Polynomial for tangles},
author = {Nicolas Petit},
journal= {arXiv preprint arXiv:2207.12300},
year = {2022}
}
Comments
18 pages, 21 figures. Comments welcome!