MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Filtered Lagrangian Floer homology of product manifolds
J. Nikolić

Abstract

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 Künneth formula for Lagrangian Floer homology. We also prove that the Künneth formula for Lagrangian Floer homology lifts through a Lagrangian type of Piunikhin-Salamon-Schwarz map to the Künneth formula for Morse homology.

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Keywords: Filtered Lagrangian Floer homology; Künneth formula; PSS isomorphism.

MSC: 53D40, 55U25, 53D12

Pages:  222--232     

Volume  70 ,  Issue  3 ,  2018