4 papers
Khovanov homology of tangles: algorithm and computation
Li Shen, Jian Liu, Guo-Wei Wei
Knot, link, and tangle theory is crucial in both mathematical theory and practical application, including quantum physics, molecular biology, and structural chemistry. Unlike knots…
Computing Khovanov homology of tangles
Li Shen, Jian Liu, Guo-Wei Wei
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 co…
Topological Sequence Analysis of Genomes: Delta Complex approaches
Jian Liu, Li Shen, Dong Chen +1
Algebraic topology has been widely applied to point cloud data to capture geometric shapes and topological structures. However, its application to genome sequence analysis remains…
Topological Sequence Analysis of Genomes: Category theory Approaches
Jian Liu, Li Shen, Mushal Zia +1
Sequence data, such as DNA, RNA, and protein sequences, exhibit intricate, multi-scale structures that pose significant challenges for conventional analysis methods, particularly t…