Abstract

Consider a fibration of symplectic manifolds, with an induced fibration of Lagrangians. We develop a new version of Lagrangian Floer theory that is well defined when the fiber Lagrangian is monotone and the base is rational and unobstructed. Then, we write down a Leray-Serre type spectral sequence that computes the Floer cohomology of the total Lagrangian from the Floer complexes of the base and fiber. We use this theory to discover fibered Floer-non-trivial tori in complex flag manifolds and ruled projective surfaces.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.