辛曲面求和与负球面
Symplectic Surface Summing and Negative Spheres
浏览论文内容
中文总结 AI 辅助
本文推广球面求和构造至沿任意亏格曲面的辛求和，给出所得曲面的亏格和自交数公式，并恢复椭圆曲面特例及构造高亏格例子。
中文摘要 AI 辅助
我们将\cite{AZ}中的球面求和构造从环面求和推广到沿任意亏格曲面的辛求和。相对曲面与求和曲面的相交数可为任意正整数。我们给出了所得曲面的亏格和自交数公式，以及该构造的图和同时版本。原始椭圆曲面情形作为特例被恢复，并从超椭圆Lefschetz纤维化和$\Sigma_h\times S^2$中的辫状辛曲面获得更高亏格的例子。
英文摘要
We extend the sphere-summing construction of \cite{AZ} from torus sums of spheres to symplectic sums along surfaces of arbitrary genus. The relative surfaces may have arbitrary positive intersection number with the summing surface. We give formulas for the genus and self-intersection of the resulting surface, together with graph and simultaneous versions of the construction. The original elliptic-surface case is recovered as a special case, and higher-genus examples are obtained from hyperelliptic Lefschetz fibrations and braided symplectic surfaces in $Σ_h\times S^2$.
