CORDIS Project
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This project explores the topology of real uniruled manifolds, focusing on the interactions of Lagrangian strings in symplectic manifolds and the enumeration of real rational curves. It aims to deepen understanding of geometric structures and their applications in mathematics.
The following list of questions describe the four main directions which I want to develop.1) Topology of real uniruled manifolds.May the connected sum of two closed hyperbolic manifolds of dimension at least three be Lagrangian embedded in a uniruled symplectic manifold?
Being able to answer to this question through the negative using the symplectic field theory introduced by Eliashberg-Givental and Hofer requires to understand pseudo-holomorphic curves in the cotangent bundle of such a connecte…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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