Cap-prodcut structures on the Fintushel-Stern spectral sequence

Details Cap-prodcut structures on the Fintushel-Stern spectral sequence Cap-prodcut structures on the Fintushel-Stern spectral sequence

1997-10-20

arxiv.org/abs/dg-ga/9710019v1

Mathematics

Differential Geometry

14 pages, no figure, AmsLaTex

Scientific paper

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 ${\BZ}_8$-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.

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