A homological action on sutured instanton homology

2023/06/30 by Hongjian Yang, Yang, Hongjian
Mathematics · Medicine · #57K18 #57R58 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2306.17353

openalex publication_date 2023/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a homological action on sutured instanton Floer homology. This action is well-defined up to scalars, and behaves well under connected sums and sutured manifold decompositions. As an application, we show that instanton knot homology detects link splitting for two-component links.

Related

• Instanton Floer homology for sutured manifolds with tangles
• Knots, sutures and excision
• Decomposing sutured monopole and Instanton Floer homologies
• On Floer minimal knots in sutured manifolds
• Instanton Floer homology for two-component links