3 papers
math.GT2025
Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial
Anthony Christiana, Ben Clingenpeel, Huizheng Guo +4
In this paper, we analyze the homology of the Yang-Baxter Operators yielding the HOMFLYPT polynomial, reducing the computation of the -th homology of for arb…
math.GT2024
On geometric realizations of the extreme Khovanov homology of pretzel links
Jinseok Oh, Mark H. Siggers, Seung Yeop Yang +1
González-Meneses, Manchón, and Silvero showed that the (hypothetical) extreme Khovanov homology of a link diagram is isomorphic to the reduced (co)homology of the independence simp…
cs.CG2023
Effective data reduction algorithm for topological data analysis
Seonmi Choi, Jinseok Oh, Jeong Rye Park +2
One of the most interesting tools that have recently entered the data science toolbox is topological data analysis (TDA). With the explosion of available data sizes and dimensions,…