MATEMATI‚ČKI VESNIKVol. 70, No. 3, pp. 222–232 (2018)
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MATEMATI‚ČKI VESNIK Vol. 70, No. 3, pp. 222–232 (2018) |
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Filtered Lagrangian Floer homology of product manifoldsJ. Nikoli‚ćUniversity of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia E-mail: jovanadj@matf.bg.ac.rsAbstract: In this note we construct a commutative diagram in filtered Lagrangian Floer homology that involves a product of certain Lagrangian submanifolds. As a corollary, we prove the K\"{u}nneth formula for Lagrangian Floer homology. We also prove that the K\"{u}nneth formula for Lagrangian Floer homology lifts through a Lagrangian type of Piunikhin-Salamon-Schwarz map to the K\"{u}nneth formula for Morse homology. Keywords: Filtered Lagrangian Floer homology; K\"unneth formula; PSS isomorphism. Classification (MSC2000): 53D40; 55U25, 53D12 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 22 Aug 2023. This page was last modified: 22 Aug 2023.
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