Instantons and Khovanov homology in \mathbbRP³

2024/02/24 by Hongjian Yang, Yang, Hongjian
Computer Science · Mathematics · #Topological and Geometric Data Analysis #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2402.15716

Abstract

We study the instanton Floer homology for links in \mathbbRP³ and compute the second page of Kronheimer--Mrowka's spectral sequence. As an application, we show that Khovanov homology detects the unknot and the projective unknot in \mathbbRP³.

Related

• Instantons and Bar-Natan homology
• Filtrations on instanton homology
• Instantons and Annular Khovanov Homology
• Intrinsic Khovanov homology in \mathbbRP³
• Earrings, sutures and pointed links