CORDIS Project
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This project aims to enhance the understanding of open Gromov-Witten theory in symplectic geometry, bridging it with established fields like algebraic geometry. It seeks to explore the relationships between closed and open theories, particularly in relation to Lagrangian submanifolds.
The questions motivating symplectic geometry, from classical mechanics to enumerative algebraic geometry, have been studied for centuries.
Many recent advances in the field have stemmed from the theory of J-holomorphic curves, and in particular Gromov-Witten theory.
The past 25 years of research have produced a fairly detailed picture of what can be expected from classical, closed Gromov-Witten theory.
However, closed Gromov-Witten theory by itself lacks an interface with Lagrangian submanifol…
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