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math.SG2001
Symplectic Parshin-Arakelov inequality
Tian-Jun Li
Lefschetz fibration is the symplectic analogue of stable holomorphic fibration in complex geometry. A 4-dimensional stable holomorphic fibration satisfies the famous Parshin-Arakel…
math.GT2001
Symplectic genus, minimal genus and diffeomorphisms
Bang-He Li, Tian-Jun Li
In this paper, the symplectic genus for any 2-dimensional class in a 4-manifold admitting a symplectic structure is introduced, and its relation with the minimal genus is studied.…
math.GT2001
Family Seiberg-Witten invariants and wall crossing formulas
Tian-Jun Li, Ai-Ko Liu
In this paper we set up the family Seiberg-Witten theory. It can be applied to the counting of nodal pseudo-holomorphic curves in a symplectic 4-manifold (especially a Kahler surfa…