Characterizing Regular Lagrangians by Lefschetz Fibration
Sauvik Mukherjee
TL;DR
This paper establishes a link between regular Lagrangians and Weinstein Lefschetz fibrations, providing a new characterization under specific hypotheses.
Contribution
It introduces a novel criterion for the existence of regular Lagrangians based on Weinstein Lefschetz fibrations.
Findings
Regular Lagrangians characterized by Lefschetz fibrations
Provides conditions under which regular Lagrangians exist
Advances understanding of symplectic topology and Lagrangian submanifolds
Abstract
We prove that the existence of regular Lagrangians can be given by existence of Weinstein Lefschetz fibrations with an hypothesis.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds