CORDIS Project
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This project investigates Lefschetz pencils in generalized complex 4-manifolds, aiming to establish conditions for these manifolds to possess symplectic structures. It also explores the adaptation of Seiberg-Witten theory to identify obstructions for generalized complex structures and examines mirror symmetry in this c…
We will study a notion of Lefschetz pencils for generalized complex 4-manifolds, aiming at results analogue to those of Donalson and Gompf in symplectic geometry stating that a 4-manifold has a symplectic structure if and only if it admits a Lefschetz pencil.
To achieve the desired results we have to find the right definition of a Lefschetz pencil in the generalized complex setting.
Earlier work of the candidate on this area has already shed some light into this question.
We will study the ques…
UNIVERSITEIT UTRECHT
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