Cap-prodcut structures on the Fintushel-Stern spectral sequence
dg-ga
2007-05-23 v1 Differential Geometry
Abstract
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 -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.
Cite
@article{arxiv.dg-ga/9710019,
title = {Cap-prodcut structures on the Fintushel-Stern spectral sequence},
author = {Weiping Li},
journal= {arXiv preprint arXiv:dg-ga/9710019},
year = {2007}
}
Comments
14 pages, no figure, AmsLaTex