Filtered Lagrangian Floer homology of product manifolds

Authors

  • J. Nikolić University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia Author

Keywords:

Filtered Lagrangian Floer homology, Künneth formula, PSS isomorphism

Subjects:

53D40, 55U25, 53D12

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.

Downloads

Published

2018-07-15

Issue

Vol. 70 No. 3 (2018): Vol. 70, Issue 3

Section

Articles

License

Copyright (c) 2018 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.