Classification of Lagrangian fibrations
Ivan Kozlov
TL;DR
This paper provides a classification of Lagrangian fibrations over surfaces with compact total spaces, focusing on fiberwise symplectomorphisms that are identical on the base, advancing understanding of their structural properties.
Contribution
It offers a comprehensive classification of Lagrangian fibrations over surfaces, a novel contribution to symplectic geometry.
Findings
Complete classification of Lagrangian fibrations over surfaces.
Identification of invariants under fiberwise symplectomorphisms.
Clarification of the structure of such fibrations.
Abstract
This paper classifies Lagrangian fibrations over surfaces with compact total spaces up to fiberwise symplectomorphism identical on the base.
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology