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- Title
NEW SYMPLECTIC 6-MANIFOLDS VIA COISOTROPIC LUTTINGER SURGERY.
- Authors
Akhmedov, Anar
- Abstract
In this paper, we study the coisotropic Luttinger surgery on several families of non-simply connected symplectic 6-manifolds. First, we show that the appropriate number of such surgeries on some of these symplectic 6-manifolds produce the simply connected symplectic and non-Kahler symplectic 6-manifolds. Next, using coisotropic Luttinger surgery along 핋2 ×핋2, we show that for each finitely presented group G, there exists a family of symplectic 6-manifolds with fundamental group G. We also produce a variety of interesting symplectic 6-manifolds via the coisotropic Luttinger surgery on symplectic 6-manifolds such as Σg × Σg × Σg for any g ≤ 2, and on symplectic 6-manifold M = (Σ2×핋2×핋2)Σ2 ×핋2 ((핋2×핊2#4ℂℙ2)×핋2), which is obtained via symplectic connected sum.
- Subjects
SURGERY; SYMPLECTIC manifolds; LUTTINGER liquids; KAHLERIAN manifolds; MULTIPLE myeloma
- Publication
Advanced Mathematical Models & Applications, 2018, Vol 3, Issue 2, p106
- ISSN
2519-4445
- Publication type
Article