Mathematics – Symplectic Geometry
Scientific paper
2008-10-22
Mathematics
Symplectic Geometry
Acknowledgments added
Scientific paper
We continue the study of the contact homology of subcritical Stein manifolds initiated by Mei-Lin Yau. With the technical assumption that the first Chern class of the Stein domain vanishes, we determine the full contact homology of the boundary of a subcritical Stein domain. Moreover we calculated the genus 0 correlators and descendants of one marked point for the Stein domain. As an application, we prove that if a K\"{a}hler manifold $M^{2n}$ admits a subcritical polarization and $c_{1}(M)$ is proportional to the K\"{a}hler form, then $M$ is uniruled.
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