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Abstract: We study symplectic geometry of rationally connected $3$-folds. The firstresult shows that rationally connectedness is a symplectic deformationinvariant in dimension $3$. If a rationally connected $3$-fold $X$ is Fano or$b 2X=2$, we prove that it is symplectic rationally connected, i.e. there isa non-zero Gromov-Witten invariant with two insertions being the class of apoint. Finally we prove that many rationally connected $3$-folds are birationalto a symplectic rationally connected variety.



Autor: Zhiyu Tian

Fuente: https://arxiv.org/







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