Symplectic calabi-Yau 6-manifolds

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In this article, we construct simply connected symplectic Calabi-Yau 6-manifolds by applying Gompf's symplectic fiber sum operation along T4. Using our method, we also construct symplectic non-Kähler Calabi-Yau 6-manifolds with fundamental group Z. This paper also produces the first examples of simply connected and non-simply connected symplectic Calabi-Yau 6-manifolds with fundamental groups Zp×Zq, and Z×Zq for any p ≥ 1 and q ≥ 2 via co-isotropic Luttinger surgery.

Original languageEnglish (US)
Pages (from-to)115-125
Number of pages11
JournalAdvances in Mathematics
StatePublished - Sep 10 2014


  • Calabi-Yau 6-manifolds
  • Co-isotropic luttinger surgery
  • Lefschetz fibration
  • Symplectic connected sum

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