5 papers
The flip map and involutions on Khovanov homology
Daren Chen, Hongjian Yang
The flip symmetry on knot diagrams induces an involution on Khovanov homology. We prove that this involution is determined by its behavior on unlinks; in particular, it is the iden…
Intrinsic Khovanov homology in
Qiuyu Ren, Hongjian Yang
We prove that Khovanov homology is an invariant of links in unparametrized 's, i.e., oriented -manifolds diffeomorphic to . Along the way, we estab…
Instantons and Khovanov homology in
Hongjian Yang
We study the instanton Floer homology for links in and compute the second page of Kronheimer--Mrowka's spectral sequence. As an application, we show that Khovanov h…
Political-LLM: Large Language Models in Political Science
Lincan Li, Jiaqi Li, Catherine Chen +44
In recent years, large language models (LLMs) have been widely adopted in political science tasks such as election prediction, sentiment analysis, policy impact assessment, and mis…
Spatial Transfer Learning with Simple MLP
Hongjian Yang
First step to investigate the potential of transfer learning applied to the field of spatial statistics