English

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 \BZ8{\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.

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

R2 v1 2026-07-22T12:30:15.317Z