Fukaya A_\infty-structures associated to Lefschetz fibrations. IV 1/2
Paul Seidel
TL;DR
This paper constructs the Fukaya category for exact symplectic Lefschetz fibrations and details its closed-open string map, advancing the understanding of symplectic topology and category theory.
Contribution
It introduces a new construction of the Fukaya category for Lefschetz fibrations and describes its closed-open string map, providing foundational tools for symplectic geometry.
Findings
Construction of the Fukaya category for Lefschetz fibrations
Description of the closed-open string map in this context
Framework for further symplectic topology research
Abstract
We describe a construction of the Fukaya category of an exact symplectic Lefschetz fibration, together with its closed-open string map.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Geometry and complex manifolds