CORDIS Project
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This project combines holomorphic curves and topological methods to address key questions in symplectic and contact geometry. It aims to develop new mathematical invariants and explore the relationship between geometry and dynamics in higher dimensions.
I intend to cross ressources of holomorphic curves techniques and traditional topological methods to study some fundamental questions in symplectic and contact geometry such as:- The Weinstein conjecture in dimension greater than 3.- The
construction of new invariants for both smooth manifolds and Legendrian/contact manifolds, in particular, try to define an analogue of Heegaard Floer homology in dimension larger than 3.- The link, in dimension 3, between the geometry of
the ambient manifold (e…
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