Bar-Natan Homology for null homologous links in RP3
Abstract
In this paper, we introduce Bar-Natan homology for null homologous links in RP3 over the field of two elements. It is a deformation of the Khovanov homology in RP3 defined by Asaeda, Przytycki and Sikora. We also define an s-invariant from this deformation using the same recipe as for links in S3, and prove some genus bound using it. The key ingredient is the notion of twisted orientation for null homologous links and cobordisms in RP3.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.