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Cap-product structures on the Fintushel–Stern spectral sequence

Published online by Cambridge University Press:  26 October 2001

WEIPING LI
WEIPING LI
Affiliation:
Department of Mathematics, Oklahoma State University Stillwater, Oklahoma 74078-0613, U.S.A. e-mail: [email protected]
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Abstract

We show that there is a well-defined cap-product structure on the Fintushel–Stern spectral sequence and the induced cap-product structure on the ℤ8-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 cohomlogy class by an infinite-dimensional homology class (Floer cycles) to get another infinite-dimensional homology class.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 2 , September 2001 , pp. 265 - 278
Copyright
2001 Cambridge Philosophical Society

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