2010/01/22 by Eric Harper, Harper, Eric, Nikolai Saveliev +1
Mathematics · #57M27 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27 #msc:57R58
paper · pdf · doi:10.48550/arxiv.1001.4065
10 pages, 4 figures; updated to clarify relation to the Kronheimer-Mrowka KHI theory
arxiv created 2011/09/25 · arxiv updated 2011/09/27
For any link of two components in an integral homology sphere, we define an instanton Floer homology whose Euler characteristic is the linking number between the components of the link. We relate this Floer homology to the Kronheimer-Mrowka instanton Floer homology of knots. We also show that, for two-component links in the 3-sphere, the Floer homology does not vanish unless the link is split.