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- W2012623340 abstract "In this paper, we consider the minimal genus problem in a ruled 4-manifold M. There are three key ingredients in the studying, the action of diffeomorphism group of M on H 2 (M,Z), the geometric construction of surfaces representing a cohomology class and the generalized adjunction formula. At first, we discuss the standard form (see Definition 1.1) of a class under the action of diffeomorphism group on H 2 (M,Z), we prove the uniqueness of the standard form. Then we construct some embedded surfaces representing the standard forms of some positive classes, the generalized adjunction formula is used to show that these surfaces realize the minimal genera." @default.
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- W2012623340 date "2008-04-01" @default.
- W2012623340 modified "2023-09-25" @default.
- W2012623340 title "THE MINIMAL GENUS PROBLEM IN RULED MANIFOLDS" @default.
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- W2012623340 doi "https://doi.org/10.1142/s021821650800621x" @default.
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