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152
NEARSYMPLECTIC 6–MANIFOLDS
, 2013
"... We give a generalization of the concept of nearsymplectic structures to 6manifolds M6. We show that for some contact 3manifold Z, then Z³×S² admits a contact structure that is PSovertwisted, and that appears naturally in our context. Moreover, there is a contact fibration Z×S²\C → S²\C outside ..."
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We give a generalization of the concept of nearsymplectic structures to 6manifolds M6. We show that for some contact 3manifold Z, then Z³×S² admits a contact structure that is PSovertwisted, and that appears naturally in our context. Moreover, there is a contact fibration Z×S²\C → S
Geography of symplectic 4 and 6manifolds
"... The geography of minimal symplectic 4manifolds with arbitrary fundamental group and symplectic 6manifolds with abelian fundamental group of small rank, and with arbitrary fundamental group are addressed. ..."
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Cited by 1 (0 self)
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The geography of minimal symplectic 4manifolds with arbitrary fundamental group and symplectic 6manifolds with abelian fundamental group of small rank, and with arbitrary fundamental group are addressed.
SYMPLECTIC HYPERSURFACES IN CP 3
"... Abstract. We establish the uniqueness of the symplectic 4manifolds which admit low degree symplectic embeddings into CP 3. We also discuss the uniqueness of the fundamental group of the complement of such embeddings into arbitrary symplectic 6manifolds. ..."
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Abstract. We establish the uniqueness of the symplectic 4manifolds which admit low degree symplectic embeddings into CP 3. We also discuss the uniqueness of the fundamental group of the complement of such embeddings into arbitrary symplectic 6manifolds.
SIMPLY CONNECTED SYMPLECTIC CALABIYAU 6Manifolds
, 2011
"... In this article, we construct simply connected symplectic CalabiYau 6manifold by applying Gompf’s symplectic fiber sum operation along T 4. Using our method, we also construct symplectic nonKähler CalabiYau 6manifolds with fundamental group Z. We also produce the first examples of simply conn ..."
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Cited by 4 (0 self)
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In this article, we construct simply connected symplectic CalabiYau 6manifold by applying Gompf’s symplectic fiber sum operation along T 4. Using our method, we also construct symplectic nonKähler CalabiYau 6manifolds with fundamental group Z. We also produce the first examples of simply
The diversity of symplectic CalabiYau 6manifolds
 J. Topol
"... Panov Given an integer b and a finitely presented group G, we produce a compact symplectic 6manifold with c1 = 0, b2> b, b3> b and π1 = G. In the simply connected case, we can also arrange for b3 = 0; in particular, these examples are not diffeomorphic to Kähler manifolds with c1 = 0. The co ..."
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Cited by 5 (3 self)
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Panov Given an integer b and a finitely presented group G, we produce a compact symplectic 6manifold with c1 = 0, b2> b, b3> b and π1 = G. In the simply connected case, we can also arrange for b3 = 0; in particular, these examples are not diffeomorphic to Kähler manifolds with c1 = 0
The GopakumarVafa formula for symplectic manifolds
"... The GopakumarVafa conjecture predicts that the GromovWitten invariants of a CalabiYau 3fold can be canonically expressed in terms of integer invariants called BPS numbers. Using the methods of symplectic GromovWitten theory, we prove that the GopakumarVafa formula holds for any symplectic Cala ..."
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Cited by 3 (0 self)
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CalabiYau 6manifold, and hence for CalabiYau 3folds. The results extend to all symplectic 6manifolds and to the genus zero GW invariants of semipositive manifolds.
GROMOVWITTEN INVARIANTS OF STABILIZATIONS OF SYMPLECTIC
, 906
"... Abstract. We relate the GromovWitten invariants of X×S 2 to the SeibergWitten invariants of X where X is a simplyconnected symplectic 4manifold. We also give examples that expose the similarity between the classification of smooth 4manifolds and some classification problems regarding symplectic ..."
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symplectic 6manifolds. In this paper, we calculate some of the GromovWitten invariants of the product symplectic structure of X ×S 2 where X is a symplectic, simplyconnected 4manifold. X ×S 2 is called the stabilization of X in the sense that when two homeomorphic but nondiffeomorphic 4manifolds
Properties Of Pseudoholomorphic Curves In Symplectizations III: Fredholm Theory
, 1996
"... . We shall study smooth maps ~ u : S ! R\ThetaM of finite energy defined on the punctured Riemann surface S = Sn \Gamma and satisfying a CauchyRiemann type equation T ~ u j = J(~u) T ~ u for special almost complex structures J, related to contact forms on the compact three manifold M . Neit ..."
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Cited by 119 (12 self)
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. We shall study smooth maps ~ u : S ! R\ThetaM of finite energy defined on the punctured Riemann surface S = Sn \Gamma and satisfying a CauchyRiemann type equation T ~ u j = J(~u) T ~ u for special almost complex structures J, related to contact forms on the compact three manifold M
Properties of Hamiltonian Torus Actions on Closed Symplectic Manifolds
, 2013
"... In this thesis, we will study the properties of certain Hamiltonian torus actions on closed symplectic manifolds. First, we will consider counting Hamiltonian Tn actions on closed, symplectic manifolds M2n so that dim(H2(M)) = 2. In particular, all such manifolds are CP r bundles over CP s for some ..."
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other cases, such as the case where (M,ω) is monotone. Finally, we will be interested in the existence of symplectic, nonHamiltonian circle actions on closed symplectic 6manifolds. In particular, we will use Jholomorphic curve techniques to show that there are no such actions that satisfy certain
Results 1  10
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152