1997/10/20 by Weiping Li, Wei-Ping Li, Li, Weiping
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Biology #Cellular homology #Cohomology #Combinatorics #De Rham cohomology #Differential Geometry (math.DG) #Engineering #Equivariant cohomology #FOS: Mathematics #Floer homology #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Instanton #Khovanov homology #Mathematical physics #Mathematics #Mayer–Vietoris sequence #Morse homology #Pure mathematics #Spectral sequence #Stern #Topology (electrical circuits) #dg-ga #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9710019
published in arXiv (Cornell University) (Cornell University) · 14 pages, no figure, AmsLaTex
arxiv created 1997/10/20 · openalex publication_date 1997/10/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that there is a well-defined cap-product structure on the Fintushel-Stern spectral sequence. Hence we obtain the induced cap-product structure on the \BZ8-graded instanton Floer homology. The cap-product structure provides an essentially new property of the instanton Floer homology, from a topological point of view, which multiplies a finite dimensional cohomology class by an infinite dimensional homology class (Floer cycles) to get another infinite dimensional homology class.