5 citations · 16 across the 8 of their papers we have counts for
9 papers
Symplectic Classes on Elliptic Surfaces with positive Euler Number
Josef G. Dorfmeister, Tian-Jun Li
A key question for -manifolds admitting symplectic structures is to determine which cohomology classes admit a symplectic representative. The collect…
The Minimal Genus Problem
Josef G. Dorfmeister, Tian-Jun Li
This paper gives a survey of the progress on the minimal genus problem since Lawson's survey.
Bounded Negativity and Symplectic 4-Manifolds
Josef G. Dorfmeister
Let be a symplectic 4-manifold of negative Kodaira dimension. Let be an -symplectic curve, -holomorphic for some tamed by . Then is bounded below b…
Stability and Existence of Surfaces in Symplectic 4-Manifolds with
Josef G. Dorfmeister, Tian-Jun Li, Weiwei Wu
We establish various stability results for symplectic surfaces in symplectic manifolds with . These results are then applied to prove the existence of representatives of…
Kodaira Dimension of Fiber Sums along Spheres
Josef G. Dorfmeister
In this note we discuss the effect of the symplectic sum along spheres in symplectic four-manifolds on the Kodaira dimension of the underlying symplectic manifold. We find that the…
Minimality of Symplectic Fiber Sums along Spheres
Josef G. Dorfmeister
In this note we complete the discussion of minimality of symplectic fiber sums. We find, that for fiber sums along spheres the minimality of the sum is determined by the cases disc…
Relative Ruan and Gromov-Taubes Invariants of Symplectic 4-Manifolds
Josef G Dorfmeister, Tian-Jun Li
We define relative Ruan invariants that count embedded connected symplectic submanifolds which contact a fixed stable symplectic hypersurface V in a symplectic 4-manifold (X,w) at…
The Kodaira Dimension of Lefschetz Fibrations
Josef G Dorfmeister, Weiyi Zhang
In this note, we verify that the complex Kodaira dimension equals the symplectic Kodaira dimension for smooth 4-manifolds with complex and symplectic structures. We als…
The Relative Symplectic Cone and T^2-Fibrations
Josef G. Dorfmeister, Tian-Jun Li
In this note we introduce the notion of the relative symplectic cone. As an application, we determine the symplectic cone of certain T^2-fibrations. In particular, for some ellipti…