Cap-product structures on the Fintushel–Stern spectral sequence

DOI10.1017/S0305004101005278zbMATH Open0997.57044arXivdg-ga/9710019OpenAlexW2092172632MaRDI QIDQ2760481

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Publication date: 2 January 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

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 ${BZ}_8$-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.

Full work available at URL: https://arxiv.org/abs/dg-ga/9710019

zbMATH Keywords

cap productinstanton Floer homologyFintushel-Stern spectral sequence

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Floer homology (57R58)

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