CORDIS Project
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This project explores generalized geometry, focusing on odd-dimensional manifolds, particularly 3-manifolds. It aims to develop a new geometric framework that connects generalized geometry with knot and link theory, enhancing understanding and creating innovative applications in mathematics and physics.
Generalized geometry is a revolutionary approach to geometric structures pioneered by Hitchin in 2003, soon becoming an active topic catching the interest and bringing together the expertise of geometers and theoretical physicists.
Generalized complex structures, defined for even-dimensional manifolds, are both a genuinely interesting mathematical structure, providing insight of complex and symplectic geometry, and the suitable notion for some physical theories like mirror symmetry.
Odd-dimensio…
UNIVERSITAT AUTONOMA DE BARCELONA
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