CORDIS Project
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This project proposes a novel approach to studying symplectic dynamics through the action of the symplectic mapping class group on stability conditions in Fukaya categories. It aims to generalize classical theories to higher-dimensional symplectic manifolds and explore the relationship between topological and dynamical…
Over the last decade, homological algebra has entered symplectic topology, largely thanks to the appearance of Fukaya categories in homological mirror symmetry.
Applications of these new methods and ideas are still scarce.
We propose a fundamentally new approach to studying symplectic dynamics, by studying the action of the symplectic mapping class group on the complex manifold of stability conditions on its Fukaya category.
This can be seen as a first attempt to generalise classical Teichmuelle…
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