Computing Khovanov homology of tangles
Geometric Topology
2025-08-21 v1 General Topology
Abstract
The computation of Khovanov homology for tangles has significant potential applications, yet explicit computational studies remain limited. In this work, we present a method for computing the Khovanov homology of tangles via an arc reduction approach, and we derive the Poincar\'e polynomial for simple tangles. Furthermore, we compute the Poincar\'e polynomials of tangles with at most three crossings.
Keywords
Cite
@article{arxiv.2508.14398,
title = {Computing Khovanov homology of tangles},
author = {Li Shen and Jian Liu and Guo-Wei Wei},
journal= {arXiv preprint arXiv:2508.14398},
year = {2025}
}