A multi-variable Alexander polynomial for a framed transverse graph
Geometric Topology
2025-12-01 v1
Abstract
We propose a definition of the rotation number for transverse graph diagrams, extending the classical notion of the rotation number for plane curves. Using this, we introduce a normalized multi-variable Alexander polynomial for framed, oriented transverse graphs without sinks or sources, embedded in the 3-sphere . We prove that our invariant coincides with the -Alexander polynomial proposed by Viro.
Cite
@article{arxiv.2511.22867,
title = {A multi-variable Alexander polynomial for a framed transverse graph},
author = {Yuanyuan Bao and Zhongtao Wu},
journal= {arXiv preprint arXiv:2511.22867},
year = {2025}
}