AbstractWe study the Gromov invariants of the total space W of a symplectic fibration π:W→M, where (M,ω) is a symplectic 4-manifold and the fiber is equal to S2. We find a relation between the Gromov invariants of W and those of M, for the homology classes  such that π(Â)≠0. As an application we construct infinitely many symplectic structures on W for M=E(n), the simply connected minimal elliptic surface
AbstractLet F be a fibration on a simply-connected base with symplectic fiber (M,ω). Assume that the...
In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold...
We continue our program initiated in [1] to consider supersymmetric surface operators in a topologic...
AbstractWe study the Gromov invariants of the total space W of a symplectic fibration π:W→M, where (...
AbstractModuli spaces of stable pseudoholomorphic curves can be defined parametrically, i.e., over t...
Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fi...
42 pages, notes of lectures given at IPAM, Los AngelesThis text is a set of lecture notes for a seri...
Suppose that X is a torus bundle over a closed surface with homologically essential fibers. Let X_K ...
The main focus of this thesis is on the Gromov--Witten theory of general symplectic manifolds. Mohan...
26 pagesGiven a closed orientable Lagrangian surface L in a closed symplectic four-manifold X togeth...
AbstractThis article presents several new constructions of infinite families of smooth 4-manifolds w...
An application of Gromov-Witten invariants is that they distinguish the deformation types of symplec...
summary:By using the Seiberg-Witten invariant we show that the region under the Noether line in the ...
AbstractIn this note, we investigate fibre space structures of a projective irreducible symplectic m...
revised version These notes combine material from short lecture courses given in Paris, France, in J...
AbstractLet F be a fibration on a simply-connected base with symplectic fiber (M,ω). Assume that the...
In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold...
We continue our program initiated in [1] to consider supersymmetric surface operators in a topologic...
AbstractWe study the Gromov invariants of the total space W of a symplectic fibration π:W→M, where (...
AbstractModuli spaces of stable pseudoholomorphic curves can be defined parametrically, i.e., over t...
Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fi...
42 pages, notes of lectures given at IPAM, Los AngelesThis text is a set of lecture notes for a seri...
Suppose that X is a torus bundle over a closed surface with homologically essential fibers. Let X_K ...
The main focus of this thesis is on the Gromov--Witten theory of general symplectic manifolds. Mohan...
26 pagesGiven a closed orientable Lagrangian surface L in a closed symplectic four-manifold X togeth...
AbstractThis article presents several new constructions of infinite families of smooth 4-manifolds w...
An application of Gromov-Witten invariants is that they distinguish the deformation types of symplec...
summary:By using the Seiberg-Witten invariant we show that the region under the Noether line in the ...
AbstractIn this note, we investigate fibre space structures of a projective irreducible symplectic m...
revised version These notes combine material from short lecture courses given in Paris, France, in J...
AbstractLet F be a fibration on a simply-connected base with symplectic fiber (M,ω). Assume that the...
In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold...
We continue our program initiated in [1] to consider supersymmetric surface operators in a topologic...
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